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Finding the Fourth Proportional to 432.71, 597.20 and 258.15

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Solution

The fourth proportional to 432.71, 597.20 and 258.15 is: 356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.71 : 597.20 = 258.15 : x
  2. Step 2: Convert to fraction form
    432.71/597.20 = 258.15/x
  3. Step 3: Cross multiply
    432.71x = 597.20 × 258.15
  4. Step 4: Simplify right side
    432.71x = 154,168.13
  5. Step 5: Solve for x
    x = 154,168.13/432.71
  6. Step 6: Final answer
    x = 356.29

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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.