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Finding the Fourth Proportional to 139.67, 209.52 and 43.49

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Solution

The fourth proportional to 139.67, 209.52 and 43.49 is: 65.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.67 : 209.52 = 43.49 : x
  2. Step 2: Convert to fraction form
    139.67/209.52 = 43.49/x
  3. Step 3: Cross multiply
    139.67x = 209.52 × 43.49
  4. Step 4: Simplify right side
    139.67x = 9,112.02
  5. Step 5: Solve for x
    x = 9,112.02/139.67
  6. Step 6: Final answer
    x = 65.24

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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.