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Finding the Fourth Proportional to 398.55, 549.89 and 251.24

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Solution

The fourth proportional to 398.55, 549.89 and 251.24 is: 346.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.55 : 549.89 = 251.24 : x
  2. Step 2: Convert to fraction form
    398.55/549.89 = 251.24/x
  3. Step 3: Cross multiply
    398.55x = 549.89 × 251.24
  4. Step 4: Simplify right side
    398.55x = 138,151.30
  5. Step 5: Solve for x
    x = 138,151.30/398.55
  6. Step 6: Final answer
    x = 346.63

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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.