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Finding the Fourth Proportional to 306.08, 458.38 and 197.56

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Solution

The fourth proportional to 306.08, 458.38 and 197.56 is: 295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.08 : 458.38 = 197.56 : x
  2. Step 2: Convert to fraction form
    306.08/458.38 = 197.56/x
  3. Step 3: Cross multiply
    306.08x = 458.38 × 197.56
  4. Step 4: Simplify right side
    306.08x = 90,557.55
  5. Step 5: Solve for x
    x = 90,557.55/306.08
  6. Step 6: Final answer
    x = 295.86

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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.