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Finding the Fourth Proportional to 398.31, 549.58 and 240.90

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Solution

The fourth proportional to 398.31, 549.58 and 240.90 is: 332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.31 : 549.58 = 240.90 : x
  2. Step 2: Convert to fraction form
    398.31/549.58 = 240.90/x
  3. Step 3: Cross multiply
    398.31x = 549.58 × 240.90
  4. Step 4: Simplify right side
    398.31x = 132,393.82
  5. Step 5: Solve for x
    x = 132,393.82/398.31
  6. Step 6: Final answer
    x = 332.39

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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.