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Finding the Fourth Proportional to 151.12, 227.22 and 142.48

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Solution

The fourth proportional to 151.12, 227.22 and 142.48 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.12 : 227.22 = 142.48 : x
  2. Step 2: Convert to fraction form
    151.12/227.22 = 142.48/x
  3. Step 3: Cross multiply
    151.12x = 227.22 × 142.48
  4. Step 4: Simplify right side
    151.12x = 32,374.31
  5. Step 5: Solve for x
    x = 32,374.31/151.12
  6. Step 6: Final answer
    x = 214.23

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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.