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Finding the Fourth Proportional to 363.60, 543.12 and 308.91

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Solution

The fourth proportional to 363.60, 543.12 and 308.91 is: 461.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.60 : 543.12 = 308.91 : x
  2. Step 2: Convert to fraction form
    363.60/543.12 = 308.91/x
  3. Step 3: Cross multiply
    363.60x = 543.12 × 308.91
  4. Step 4: Simplify right side
    363.60x = 167,775.20
  5. Step 5: Solve for x
    x = 167,775.20/363.60
  6. Step 6: Final answer
    x = 461.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.