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Finding the Fourth Proportional to 432.59, 596.95 and 257.90

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Solution

The fourth proportional to 432.59, 596.95 and 257.90 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.59 : 596.95 = 257.90 : x
  2. Step 2: Convert to fraction form
    432.59/596.95 = 257.90/x
  3. Step 3: Cross multiply
    432.59x = 596.95 × 257.90
  4. Step 4: Simplify right side
    432.59x = 153,949.78
  5. Step 5: Solve for x
    x = 153,949.78/432.59
  6. Step 6: Final answer
    x = 355.88

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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.