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Finding the Fourth Proportional to 306, 458.82 and 132.78

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Solution

The fourth proportional to 306, 458.82 and 132.78 is: 199.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306 : 458.82 = 132.78 : x
  2. Step 2: Convert to fraction form
    306/458.82 = 132.78/x
  3. Step 3: Cross multiply
    306x = 458.82 × 132.78
  4. Step 4: Simplify right side
    306x = 60,922.12
  5. Step 5: Solve for x
    x = 60,922.12/306
  6. Step 6: Final answer
    x = 199.09

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