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Finding the Fourth Proportional to 314.17, 432.82 and 220.75

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Solution

The fourth proportional to 314.17, 432.82 and 220.75 is: 304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.17 : 432.82 = 220.75 : x
  2. Step 2: Convert to fraction form
    314.17/432.82 = 220.75/x
  3. Step 3: Cross multiply
    314.17x = 432.82 × 220.75
  4. Step 4: Simplify right side
    314.17x = 95,544.46
  5. Step 5: Solve for x
    x = 95,544.46/314.17
  6. Step 6: Final answer
    x = 304.12

Related Problems

Find fourth proportional to 157.09, 216.41 and 110.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.