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Finding the Fourth Proportional to 432.64, 596.96 and 257.92

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Solution

The fourth proportional to 432.64, 596.96 and 257.92 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 596.96 = 257.92 : x
  2. Step 2: Convert to fraction form
    432.64/596.96 = 257.92/x
  3. Step 3: Cross multiply
    432.64x = 596.96 × 257.92
  4. Step 4: Simplify right side
    432.64x = 153,967.92
  5. Step 5: Solve for x
    x = 153,967.92/432.64
  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.