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Finding the Fourth Proportional to 151.78, 209.38 and 124.27

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Solution

The fourth proportional to 151.78, 209.38 and 124.27 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.78 : 209.38 = 124.27 : x
  2. Step 2: Convert to fraction form
    151.78/209.38 = 124.27/x
  3. Step 3: Cross multiply
    151.78x = 209.38 × 124.27
  4. Step 4: Simplify right side
    151.78x = 26,018.30
  5. Step 5: Solve for x
    x = 26,018.30/151.78
  6. Step 6: Final answer
    x = 171.42

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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.