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Finding the Fourth Proportional to 151.57, 226.25 and 140.30

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Solution

The fourth proportional to 151.57, 226.25 and 140.30 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 226.25 = 140.30 : x
  2. Step 2: Convert to fraction form
    151.57/226.25 = 140.30/x
  3. Step 3: Cross multiply
    151.57x = 226.25 × 140.30
  4. Step 4: Simplify right side
    151.57x = 31,741.04
  5. Step 5: Solve for x
    x = 31,741.04/151.57
  6. Step 6: Final answer
    x = 209.42

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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.