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Finding the Fourth Proportional to 305.97, 459.06 and 132.68

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Solution

The fourth proportional to 305.97, 459.06 and 132.68 is: 199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.97 : 459.06 = 132.68 : x
  2. Step 2: Convert to fraction form
    305.97/459.06 = 132.68/x
  3. Step 3: Cross multiply
    305.97x = 459.06 × 132.68
  4. Step 4: Simplify right side
    305.97x = 60,908.08
  5. Step 5: Solve for x
    x = 60,908.08/305.97
  6. Step 6: Final answer
    x = 199.07

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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.