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Finding the Fourth Proportional to 322.90, 484 and 140.38

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Solution

The fourth proportional to 322.90, 484 and 140.38 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 484 = 140.38 : x
  2. Step 2: Convert to fraction form
    322.90/484 = 140.38/x
  3. Step 3: Cross multiply
    322.90x = 484 × 140.38
  4. Step 4: Simplify right side
    322.90x = 67,943.92
  5. Step 5: Solve for x
    x = 67,943.92/322.90
  6. Step 6: Final answer
    x = 210.42

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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.