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Finding the Fourth Proportional to 306.14, 459.30 and 132.74

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Solution

The fourth proportional to 306.14, 459.30 and 132.74 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.14 : 459.30 = 132.74 : x
  2. Step 2: Convert to fraction form
    306.14/459.30 = 132.74/x
  3. Step 3: Cross multiply
    306.14x = 459.30 × 132.74
  4. Step 4: Simplify right side
    306.14x = 60,965.19
  5. Step 5: Solve for x
    x = 60,965.19/306.14
  6. Step 6: Final answer
    x = 199.14

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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.