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Finding the Fourth Proportional to 151.47, 207.89 and 147.42

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Solution

The fourth proportional to 151.47, 207.89 and 147.42 is: 202.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.47 : 207.89 = 147.42 : x
  2. Step 2: Convert to fraction form
    151.47/207.89 = 147.42/x
  3. Step 3: Cross multiply
    151.47x = 207.89 × 147.42
  4. Step 4: Simplify right side
    151.47x = 30,646.41
  5. Step 5: Solve for x
    x = 30,646.41/151.47
  6. Step 6: Final answer
    x = 202.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.