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Finding the Fourth Proportional to 151.63, 227.95 and 142.11

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Solution

The fourth proportional to 151.63, 227.95 and 142.11 is: 213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.63 : 227.95 = 142.11 : x
  2. Step 2: Convert to fraction form
    151.63/227.95 = 142.11/x
  3. Step 3: Cross multiply
    151.63x = 227.95 × 142.11
  4. Step 4: Simplify right side
    151.63x = 32,393.62
  5. Step 5: Solve for x
    x = 32,393.62/151.63
  6. Step 6: Final answer
    x = 213.64

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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.