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Finding the Fourth Proportional to 391.86, 590.46 and 324.88

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Solution

The fourth proportional to 391.86, 590.46 and 324.88 is: 489.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.86 : 590.46 = 324.88 : x
  2. Step 2: Convert to fraction form
    391.86/590.46 = 324.88/x
  3. Step 3: Cross multiply
    391.86x = 590.46 × 324.88
  4. Step 4: Simplify right side
    391.86x = 191,828.64
  5. Step 5: Solve for x
    x = 191,828.64/391.86
  6. Step 6: Final answer
    x = 489.53

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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.