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Finding the Fourth Proportional to 151.52, 227.68 and 141.80

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Solution

The fourth proportional to 151.52, 227.68 and 141.80 is: 213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.52 : 227.68 = 141.80 : x
  2. Step 2: Convert to fraction form
    151.52/227.68 = 141.80/x
  3. Step 3: Cross multiply
    151.52x = 227.68 × 141.80
  4. Step 4: Simplify right side
    151.52x = 32,285.02
  5. Step 5: Solve for x
    x = 32,285.02/151.52
  6. Step 6: Final answer
    x = 213.07

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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.