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Finding the Fourth Proportional to 322.38, 483.77 and 139.73

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Solution

The fourth proportional to 322.38, 483.77 and 139.73 is: 209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.38 : 483.77 = 139.73 : x
  2. Step 2: Convert to fraction form
    322.38/483.77 = 139.73/x
  3. Step 3: Cross multiply
    322.38x = 483.77 × 139.73
  4. Step 4: Simplify right side
    322.38x = 67,595.11
  5. Step 5: Solve for x
    x = 67,595.11/322.38
  6. Step 6: Final answer
    x = 209.68

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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.