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Finding the Fourth Proportional to 656.28, 983.76 and 223.14

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Solution

The fourth proportional to 656.28, 983.76 and 223.14 is: 334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.28 : 983.76 = 223.14 : x
  2. Step 2: Convert to fraction form
    656.28/983.76 = 223.14/x
  3. Step 3: Cross multiply
    656.28x = 983.76 × 223.14
  4. Step 4: Simplify right side
    656.28x = 219,516.21
  5. Step 5: Solve for x
    x = 219,516.21/656.28
  6. Step 6: Final answer
    x = 334.49

Related Problems

Find fourth proportional to 328.14, 491.88 and 111.57
Half scale
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Double scale
Find fourth proportional to 657.28, 985.26 and 224.14
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.