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Finding the Fourth Proportional to 458.31, 687.16 and 198.48

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Solution

The fourth proportional to 458.31, 687.16 and 198.48 is: 297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.31 : 687.16 = 198.48 : x
  2. Step 2: Convert to fraction form
    458.31/687.16 = 198.48/x
  3. Step 3: Cross multiply
    458.31x = 687.16 × 198.48
  4. Step 4: Simplify right side
    458.31x = 136,387.52
  5. Step 5: Solve for x
    x = 136,387.52/458.31
  6. Step 6: Final answer
    x = 297.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.