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Finding the Fourth Proportional to 151.98, 226.80 and 135.78

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Solution

The fourth proportional to 151.98, 226.80 and 135.78 is: 202.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 226.80 = 135.78 : x
  2. Step 2: Convert to fraction form
    151.98/226.80 = 135.78/x
  3. Step 3: Cross multiply
    151.98x = 226.80 × 135.78
  4. Step 4: Simplify right side
    151.98x = 30,794.90
  5. Step 5: Solve for x
    x = 30,794.90/151.98
  6. Step 6: Final answer
    x = 202.62

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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.