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Finding the Fourth Proportional to 151.69, 227.20 and 82.06

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Solution

The fourth proportional to 151.69, 227.20 and 82.06 is: 122.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 227.20 = 82.06 : x
  2. Step 2: Convert to fraction form
    151.69/227.20 = 82.06/x
  3. Step 3: Cross multiply
    151.69x = 227.20 × 82.06
  4. Step 4: Simplify right side
    151.69x = 18,642.49
  5. Step 5: Solve for x
    x = 18,642.49/151.69
  6. Step 6: Final answer
    x = 122.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.