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Finding the Fourth Proportional to 139.01, 208.47 and 41.49

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Solution

The fourth proportional to 139.01, 208.47 and 41.49 is: 62.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.01 : 208.47 = 41.49 : x
  2. Step 2: Convert to fraction form
    139.01/208.47 = 41.49/x
  3. Step 3: Cross multiply
    139.01x = 208.47 × 41.49
  4. Step 4: Simplify right side
    139.01x = 8,649.42
  5. Step 5: Solve for x
    x = 8,649.42/139.01
  6. Step 6: Final answer
    x = 62.22

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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.