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Finding the Fourth Proportional to 549.99, 825.10 and 225.38

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Solution

The fourth proportional to 549.99, 825.10 and 225.38 is: 338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.99 : 825.10 = 225.38 : x
  2. Step 2: Convert to fraction form
    549.99/825.10 = 225.38/x
  3. Step 3: Cross multiply
    549.99x = 825.10 × 225.38
  4. Step 4: Simplify right side
    549.99x = 185,962.54
  5. Step 5: Solve for x
    x = 185,962.54/549.99
  6. Step 6: Final answer
    x = 338.12

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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.