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Finding the Fourth Proportional to 151.69, 225.98 and 142.39

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Solution

The fourth proportional to 151.69, 225.98 and 142.39 is: 212.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 225.98 = 142.39 : x
  2. Step 2: Convert to fraction form
    151.69/225.98 = 142.39/x
  3. Step 3: Cross multiply
    151.69x = 225.98 × 142.39
  4. Step 4: Simplify right side
    151.69x = 32,177.29
  5. Step 5: Solve for x
    x = 32,177.29/151.69
  6. Step 6: Final answer
    x = 212.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.