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Finding the Fourth Proportional to 324.29, 488.46 and 264.15

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Solution

The fourth proportional to 324.29, 488.46 and 264.15 is: 397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    324.29 : 488.46 = 264.15 : x
  2. Step 2: Convert to fraction form
    324.29/488.46 = 264.15/x
  3. Step 3: Cross multiply
    324.29x = 488.46 × 264.15
  4. Step 4: Simplify right side
    324.29x = 129,026.71
  5. Step 5: Solve for x
    x = 129,026.71/324.29
  6. Step 6: Final answer
    x = 397.88

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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.