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Finding the Fourth Proportional to 432.25, 646.75 and 269.17

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Solution

The fourth proportional to 432.25, 646.75 and 269.17 is: 402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.25 : 646.75 = 269.17 : x
  2. Step 2: Convert to fraction form
    432.25/646.75 = 269.17/x
  3. Step 3: Cross multiply
    432.25x = 646.75 × 269.17
  4. Step 4: Simplify right side
    432.25x = 174,085.70
  5. Step 5: Solve for x
    x = 174,085.70/432.25
  6. Step 6: Final answer
    x = 402.74

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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.