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Finding the Fourth Proportional to 324.06, 487.82 and 279.42

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Solution

The fourth proportional to 324.06, 487.82 and 279.42 is: 420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.06 : 487.82 = 279.42 : x
  2. Step 2: Convert to fraction form
    324.06/487.82 = 279.42/x
  3. Step 3: Cross multiply
    324.06x = 487.82 × 279.42
  4. Step 4: Simplify right side
    324.06x = 136,306.66
  5. Step 5: Solve for x
    x = 136,306.66/324.06
  6. Step 6: Final answer
    x = 420.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.