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Finding the Fourth Proportional to 151.81, 226.57 and 137.23

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Solution

The fourth proportional to 151.81, 226.57 and 137.23 is: 204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.81 : 226.57 = 137.23 : x
  2. Step 2: Convert to fraction form
    151.81/226.57 = 137.23/x
  3. Step 3: Cross multiply
    151.81x = 226.57 × 137.23
  4. Step 4: Simplify right side
    151.81x = 31,092.20
  5. Step 5: Solve for x
    x = 31,092.20/151.81
  6. Step 6: Final answer
    x = 204.81

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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.