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Finding the Fourth Proportional to 324.65, 486.66 and 142.17

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Solution

The fourth proportional to 324.65, 486.66 and 142.17 is: 213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.65 : 486.66 = 142.17 : x
  2. Step 2: Convert to fraction form
    324.65/486.66 = 142.17/x
  3. Step 3: Cross multiply
    324.65x = 486.66 × 142.17
  4. Step 4: Simplify right side
    324.65x = 69,188.45
  5. Step 5: Solve for x
    x = 69,188.45/324.65
  6. Step 6: Final answer
    x = 213.12

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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.