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Finding the Fourth Proportional to 398.17, 549.42 and 227.83

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Solution

The fourth proportional to 398.17, 549.42 and 227.83 is: 314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.17 : 549.42 = 227.83 : x
  2. Step 2: Convert to fraction form
    398.17/549.42 = 227.83/x
  3. Step 3: Cross multiply
    398.17x = 549.42 × 227.83
  4. Step 4: Simplify right side
    398.17x = 125,174.12
  5. Step 5: Solve for x
    x = 125,174.12/398.17
  6. Step 6: Final answer
    x = 314.37

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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.