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Finding the Fourth Proportional to 140.73, 211.05 and 72.24

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Solution

The fourth proportional to 140.73, 211.05 and 72.24 is: 108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 211.05 = 72.24 : x
  2. Step 2: Convert to fraction form
    140.73/211.05 = 72.24/x
  3. Step 3: Cross multiply
    140.73x = 211.05 × 72.24
  4. Step 4: Simplify right side
    140.73x = 15,246.25
  5. Step 5: Solve for x
    x = 15,246.25/140.73
  6. Step 6: Final answer
    x = 108.34

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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.