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Finding the Fourth Proportional to 398.52, 549.84 and 232.74

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Solution

The fourth proportional to 398.52, 549.84 and 232.74 is: 321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 549.84 = 232.74 : x
  2. Step 2: Convert to fraction form
    398.52/549.84 = 232.74/x
  3. Step 3: Cross multiply
    398.52x = 549.84 × 232.74
  4. Step 4: Simplify right side
    398.52x = 127,969.76
  5. Step 5: Solve for x
    x = 127,969.76/398.52
  6. Step 6: Final answer
    x = 321.11

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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.