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Finding the Fourth Proportional to 306.57, 458.94 and 198.14

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Solution

The fourth proportional to 306.57, 458.94 and 198.14 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.57 : 458.94 = 198.14 : x
  2. Step 2: Convert to fraction form
    306.57/458.94 = 198.14/x
  3. Step 3: Cross multiply
    306.57x = 458.94 × 198.14
  4. Step 4: Simplify right side
    306.57x = 90,932.08
  5. Step 5: Solve for x
    x = 90,932.08/306.57
  6. Step 6: Final answer
    x = 296.61

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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.