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Finding the Fourth Proportional to 139.09, 208.67 and 42.91

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Solution

The fourth proportional to 139.09, 208.67 and 42.91 is: 64.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.09 : 208.67 = 42.91 : x
  2. Step 2: Convert to fraction form
    139.09/208.67 = 42.91/x
  3. Step 3: Cross multiply
    139.09x = 208.67 × 42.91
  4. Step 4: Simplify right side
    139.09x = 8,954.03
  5. Step 5: Solve for x
    x = 8,954.03/139.09
  6. Step 6: Final answer
    x = 64.38

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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.