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Finding the Fourth Proportional to 398.31, 549.67 and 243.06

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Solution

The fourth proportional to 398.31, 549.67 and 243.06 is: 335.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 549.67 = 243.06 : x
  2. Step 2: Convert to fraction form
    398.31/549.67 = 243.06/x
  3. Step 3: Cross multiply
    398.31x = 549.67 × 243.06
  4. Step 4: Simplify right side
    398.31x = 133,602.79
  5. Step 5: Solve for x
    x = 133,602.79/398.31
  6. Step 6: Final answer
    x = 335.42

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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.