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Finding the Fourth Proportional to 151.26, 208.38 and 140.76

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Solution

The fourth proportional to 151.26, 208.38 and 140.76 is: 193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.26 : 208.38 = 140.76 : x
  2. Step 2: Convert to fraction form
    151.26/208.38 = 140.76/x
  3. Step 3: Cross multiply
    151.26x = 208.38 × 140.76
  4. Step 4: Simplify right side
    151.26x = 29,331.57
  5. Step 5: Solve for x
    x = 29,331.57/151.26
  6. Step 6: Final answer
    x = 193.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.