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Finding the Fourth Proportional to 656.38, 983.96 and 223.23

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Solution

The fourth proportional to 656.38, 983.96 and 223.23 is: 334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.38 : 983.96 = 223.23 : x
  2. Step 2: Convert to fraction form
    656.38/983.96 = 223.23/x
  3. Step 3: Cross multiply
    656.38x = 983.96 × 223.23
  4. Step 4: Simplify right side
    656.38x = 219,649.39
  5. Step 5: Solve for x
    x = 219,649.39/656.38
  6. Step 6: Final answer
    x = 334.64

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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.