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Finding the Fourth Proportional to 141.42, 211.11 and 140.52

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Solution

The fourth proportional to 141.42, 211.11 and 140.52 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.42 : 211.11 = 140.52 : x
  2. Step 2: Convert to fraction form
    141.42/211.11 = 140.52/x
  3. Step 3: Cross multiply
    141.42x = 211.11 × 140.52
  4. Step 4: Simplify right side
    141.42x = 29,665.18
  5. Step 5: Solve for x
    x = 29,665.18/141.42
  6. Step 6: Final answer
    x = 209.77

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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.