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Finding the Fourth Proportional to 398.92, 549.31 and 333.31

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Solution

The fourth proportional to 398.92, 549.31 and 333.31 is: 458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.92 : 549.31 = 333.31 : x
  2. Step 2: Convert to fraction form
    398.92/549.31 = 333.31/x
  3. Step 3: Cross multiply
    398.92x = 549.31 × 333.31
  4. Step 4: Simplify right side
    398.92x = 183,090.52
  5. Step 5: Solve for x
    x = 183,090.52/398.92
  6. Step 6: Final answer
    x = 458.97

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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.