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Finding the Fourth Proportional to 142.76, 211.76 and 140.60

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Solution

The fourth proportional to 142.76, 211.76 and 140.60 is: 208.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 211.76 = 140.60 : x
  2. Step 2: Convert to fraction form
    142.76/211.76 = 140.60/x
  3. Step 3: Cross multiply
    142.76x = 211.76 × 140.60
  4. Step 4: Simplify right side
    142.76x = 29,773.46
  5. Step 5: Solve for x
    x = 29,773.46/142.76
  6. Step 6: Final answer
    x = 208.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.