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Finding the Fourth Proportional to 549.30, 823.83 and 224.90

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Solution

The fourth proportional to 549.30, 823.83 and 224.90 is: 337.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.30 : 823.83 = 224.90 : x
  2. Step 2: Convert to fraction form
    549.30/823.83 = 224.90/x
  3. Step 3: Cross multiply
    549.30x = 823.83 × 224.90
  4. Step 4: Simplify right side
    549.30x = 185,279.37
  5. Step 5: Solve for x
    x = 185,279.37/549.30
  6. Step 6: Final answer
    x = 337.30

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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.