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Finding the Fourth Proportional to 363.20, 544.88 and 315.68

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Solution

The fourth proportional to 363.20, 544.88 and 315.68 is: 473.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.20 : 544.88 = 315.68 : x
  2. Step 2: Convert to fraction form
    363.20/544.88 = 315.68/x
  3. Step 3: Cross multiply
    363.20x = 544.88 × 315.68
  4. Step 4: Simplify right side
    363.20x = 172,007.72
  5. Step 5: Solve for x
    x = 172,007.72/363.20
  6. Step 6: Final answer
    x = 473.59

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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.