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Finding the Fourth Proportional to 139.46, 208.89 and 74.27

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Solution

The fourth proportional to 139.46, 208.89 and 74.27 is: 111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.46 : 208.89 = 74.27 : x
  2. Step 2: Convert to fraction form
    139.46/208.89 = 74.27/x
  3. Step 3: Cross multiply
    139.46x = 208.89 × 74.27
  4. Step 4: Simplify right side
    139.46x = 15,514.26
  5. Step 5: Solve for x
    x = 15,514.26/139.46
  6. Step 6: Final answer
    x = 111.25

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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.