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Finding the Fourth Proportional to 432.76, 597.22 and 255.73

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Solution

The fourth proportional to 432.76, 597.22 and 255.73 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.76 : 597.22 = 255.73 : x
  2. Step 2: Convert to fraction form
    432.76/597.22 = 255.73/x
  3. Step 3: Cross multiply
    432.76x = 597.22 × 255.73
  4. Step 4: Simplify right side
    432.76x = 152,727.07
  5. Step 5: Solve for x
    x = 152,727.07/432.76
  6. Step 6: Final answer
    x = 352.91

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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.