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Finding the Fourth Proportional to 324.70, 487.31 and 142.22

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Solution

The fourth proportional to 324.70, 487.31 and 142.22 is: 213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.70 : 487.31 = 142.22 : x
  2. Step 2: Convert to fraction form
    324.70/487.31 = 142.22/x
  3. Step 3: Cross multiply
    324.70x = 487.31 × 142.22
  4. Step 4: Simplify right side
    324.70x = 69,306.14
  5. Step 5: Solve for x
    x = 69,306.14/324.70
  6. Step 6: Final answer
    x = 213.45

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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.