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Finding the Fourth Proportional to 432.72, 596.96 and 257.98

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Solution

The fourth proportional to 432.72, 596.96 and 257.98 is: 355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 596.96 = 257.98 : x
  2. Step 2: Convert to fraction form
    432.72/596.96 = 257.98/x
  3. Step 3: Cross multiply
    432.72x = 596.96 × 257.98
  4. Step 4: Simplify right side
    432.72x = 154,003.74
  5. Step 5: Solve for x
    x = 154,003.74/432.72
  6. Step 6: Final answer
    x = 355.90

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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.