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Finding the Fourth Proportional to 398.49, 549.75 and 249.03

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Solution

The fourth proportional to 398.49, 549.75 and 249.03 is: 343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.49 : 549.75 = 249.03 : x
  2. Step 2: Convert to fraction form
    398.49/549.75 = 249.03/x
  3. Step 3: Cross multiply
    398.49x = 549.75 × 249.03
  4. Step 4: Simplify right side
    398.49x = 136,901.49
  5. Step 5: Solve for x
    x = 136,901.49/398.49
  6. Step 6: Final answer
    x = 343.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.