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Finding the Fourth Proportional to 141.80, 211.24 and 134.76

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Solution

The fourth proportional to 141.80, 211.24 and 134.76 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 211.24 = 134.76 : x
  2. Step 2: Convert to fraction form
    141.80/211.24 = 134.76/x
  3. Step 3: Cross multiply
    141.80x = 211.24 × 134.76
  4. Step 4: Simplify right side
    141.80x = 28,466.70
  5. Step 5: Solve for x
    x = 28,466.70/141.80
  6. Step 6: Final answer
    x = 200.75

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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.