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Finding the Fourth Proportional to 432.47, 596.74 and 257.81

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Solution

The fourth proportional to 432.47, 596.74 and 257.81 is: 355.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.47 : 596.74 = 257.81 : x
  2. Step 2: Convert to fraction form
    432.47/596.74 = 257.81/x
  3. Step 3: Cross multiply
    432.47x = 596.74 × 257.81
  4. Step 4: Simplify right side
    432.47x = 153,844.25
  5. Step 5: Solve for x
    x = 153,844.25/432.47
  6. Step 6: Final answer
    x = 355.74

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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.