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Finding the Fourth Proportional to 549.45, 824.17 and 220.53

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Solution

The fourth proportional to 549.45, 824.17 and 220.53 is: 330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.45 : 824.17 = 220.53 : x
  2. Step 2: Convert to fraction form
    549.45/824.17 = 220.53/x
  3. Step 3: Cross multiply
    549.45x = 824.17 × 220.53
  4. Step 4: Simplify right side
    549.45x = 181,753.11
  5. Step 5: Solve for x
    x = 181,753.11/549.45
  6. Step 6: Final answer
    x = 330.79

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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.