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Finding the Fourth Proportional to 432.56, 596.86 and 257.96

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Solution

The fourth proportional to 432.56, 596.86 and 257.96 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.56 : 596.86 = 257.96 : x
  2. Step 2: Convert to fraction form
    432.56/596.86 = 257.96/x
  3. Step 3: Cross multiply
    432.56x = 596.86 × 257.96
  4. Step 4: Simplify right side
    432.56x = 153,966.01
  5. Step 5: Solve for x
    x = 153,966.01/432.56
  6. Step 6: Final answer
    x = 355.94

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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.