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Finding the Fourth Proportional to 141.92, 211.37 and 137.12

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Solution

The fourth proportional to 141.92, 211.37 and 137.12 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.92 : 211.37 = 137.12 : x
  2. Step 2: Convert to fraction form
    141.92/211.37 = 137.12/x
  3. Step 3: Cross multiply
    141.92x = 211.37 × 137.12
  4. Step 4: Simplify right side
    141.92x = 28,983.05
  5. Step 5: Solve for x
    x = 28,983.05/141.92
  6. Step 6: Final answer
    x = 204.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.