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Finding the Fourth Proportional to 458.38, 687.95 and 198.57

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Solution

The fourth proportional to 458.38, 687.95 and 198.57 is: 298.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.38 : 687.95 = 198.57 : x
  2. Step 2: Convert to fraction form
    458.38/687.95 = 198.57/x
  3. Step 3: Cross multiply
    458.38x = 687.95 × 198.57
  4. Step 4: Simplify right side
    458.38x = 136,605.24
  5. Step 5: Solve for x
    x = 136,605.24/458.38
  6. Step 6: Final answer
    x = 298.02

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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.