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Finding the Fourth Proportional to 151.91, 228.17 and 142.19

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Solution

The fourth proportional to 151.91, 228.17 and 142.19 is: 213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.91 : 228.17 = 142.19 : x
  2. Step 2: Convert to fraction form
    151.91/228.17 = 142.19/x
  3. Step 3: Cross multiply
    151.91x = 228.17 × 142.19
  4. Step 4: Simplify right side
    151.91x = 32,443.49
  5. Step 5: Solve for x
    x = 32,443.49/151.91
  6. Step 6: Final answer
    x = 213.57

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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.