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Finding the Fourth Proportional to 434.71, 652.02 and 272.71

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Solution

The fourth proportional to 434.71, 652.02 and 272.71 is: 409.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.71 : 652.02 = 272.71 : x
  2. Step 2: Convert to fraction form
    434.71/652.02 = 272.71/x
  3. Step 3: Cross multiply
    434.71x = 652.02 × 272.71
  4. Step 4: Simplify right side
    434.71x = 177,812.37
  5. Step 5: Solve for x
    x = 177,812.37/434.71
  6. Step 6: Final answer
    x = 409.04

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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.