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Finding the Fourth Proportional to 425.44, 638.17 and 151.56

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Solution

The fourth proportional to 425.44, 638.17 and 151.56 is: 227.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.44 : 638.17 = 151.56 : x
  2. Step 2: Convert to fraction form
    425.44/638.17 = 151.56/x
  3. Step 3: Cross multiply
    425.44x = 638.17 × 151.56
  4. Step 4: Simplify right side
    425.44x = 96,721.05
  5. Step 5: Solve for x
    x = 96,721.05/425.44
  6. Step 6: Final answer
    x = 227.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.