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Finding the Fourth Proportional to 141.92, 213.20 and 141.32

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Solution

The fourth proportional to 141.92, 213.20 and 141.32 is: 212.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 213.20 = 141.32 : x
  2. Step 2: Convert to fraction form
    141.92/213.20 = 141.32/x
  3. Step 3: Cross multiply
    141.92x = 213.20 × 141.32
  4. Step 4: Simplify right side
    141.92x = 30,129.42
  5. Step 5: Solve for x
    x = 30,129.42/141.92
  6. Step 6: Final answer
    x = 212.30

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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.