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Finding the Fourth Proportional to 322.78, 483.81 and 139.90

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Solution

The fourth proportional to 322.78, 483.81 and 139.90 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.78 : 483.81 = 139.90 : x
  2. Step 2: Convert to fraction form
    322.78/483.81 = 139.90/x
  3. Step 3: Cross multiply
    322.78x = 483.81 × 139.90
  4. Step 4: Simplify right side
    322.78x = 67,685.02
  5. Step 5: Solve for x
    x = 67,685.02/322.78
  6. Step 6: Final answer
    x = 209.69

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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.