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Finding the Fourth Proportional to 324.29, 486.17 and 129.17

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Solution

The fourth proportional to 324.29, 486.17 and 129.17 is: 193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 486.17 = 129.17 : x
  2. Step 2: Convert to fraction form
    324.29/486.17 = 129.17/x
  3. Step 3: Cross multiply
    324.29x = 486.17 × 129.17
  4. Step 4: Simplify right side
    324.29x = 62,797.93
  5. Step 5: Solve for x
    x = 62,797.93/324.29
  6. Step 6: Final answer
    x = 193.65

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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.