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Finding the Fourth Proportional to 352.32, 531.12 and 324.48

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Solution

The fourth proportional to 352.32, 531.12 and 324.48 is: 489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.32 : 531.12 = 324.48 : x
  2. Step 2: Convert to fraction form
    352.32/531.12 = 324.48/x
  3. Step 3: Cross multiply
    352.32x = 531.12 × 324.48
  4. Step 4: Simplify right side
    352.32x = 172,337.82
  5. Step 5: Solve for x
    x = 172,337.82/352.32
  6. Step 6: Final answer
    x = 489.15

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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.