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Finding the Fourth Proportional to 321.38, 482.25 and 129.02

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Solution

The fourth proportional to 321.38, 482.25 and 129.02 is: 193.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.38 : 482.25 = 129.02 : x
  2. Step 2: Convert to fraction form
    321.38/482.25 = 129.02/x
  3. Step 3: Cross multiply
    321.38x = 482.25 × 129.02
  4. Step 4: Simplify right side
    321.38x = 62,219.90
  5. Step 5: Solve for x
    x = 62,219.90/321.38
  6. Step 6: Final answer
    x = 193.60

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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.