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Finding the Fourth Proportional to 549.91, 825.24 and 225.20

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Solution

The fourth proportional to 549.91, 825.24 and 225.20 is: 337.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.91 : 825.24 = 225.20 : x
  2. Step 2: Convert to fraction form
    549.91/825.24 = 225.20/x
  3. Step 3: Cross multiply
    549.91x = 825.24 × 225.20
  4. Step 4: Simplify right side
    549.91x = 185,844.05
  5. Step 5: Solve for x
    x = 185,844.05/549.91
  6. Step 6: Final answer
    x = 337.95

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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.