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Finding the Fourth Proportional to 486.05, 729.12 and 139.42

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Solution

The fourth proportional to 486.05, 729.12 and 139.42 is: 209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.05 : 729.12 = 139.42 : x
  2. Step 2: Convert to fraction form
    486.05/729.12 = 139.42/x
  3. Step 3: Cross multiply
    486.05x = 729.12 × 139.42
  4. Step 4: Simplify right side
    486.05x = 101,652.61
  5. Step 5: Solve for x
    x = 101,652.61/486.05
  6. Step 6: Final answer
    x = 209.14

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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.