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Finding the Fourth Proportional to 151.92, 226.62 and 135.72

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Solution

The fourth proportional to 151.92, 226.62 and 135.72 is: 202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.92 : 226.62 = 135.72 : x
  2. Step 2: Convert to fraction form
    151.92/226.62 = 135.72/x
  3. Step 3: Cross multiply
    151.92x = 226.62 × 135.72
  4. Step 4: Simplify right side
    151.92x = 30,756.87
  5. Step 5: Solve for x
    x = 30,756.87/151.92
  6. Step 6: Final answer
    x = 202.45

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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.