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Finding the Fourth Proportional to 151.36, 225.66 and 136.78

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Solution

The fourth proportional to 151.36, 225.66 and 136.78 is: 203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.36 : 225.66 = 136.78 : x
  2. Step 2: Convert to fraction form
    151.36/225.66 = 136.78/x
  3. Step 3: Cross multiply
    151.36x = 225.66 × 136.78
  4. Step 4: Simplify right side
    151.36x = 30,865.77
  5. Step 5: Solve for x
    x = 30,865.77/151.36
  6. Step 6: Final answer
    x = 203.92

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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.