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Finding the Fourth Proportional to 305.84, 458.66 and 132.40

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Solution

The fourth proportional to 305.84, 458.66 and 132.40 is: 198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.84 : 458.66 = 132.40 : x
  2. Step 2: Convert to fraction form
    305.84/458.66 = 132.40/x
  3. Step 3: Cross multiply
    305.84x = 458.66 × 132.40
  4. Step 4: Simplify right side
    305.84x = 60,727.49
  5. Step 5: Solve for x
    x = 60,727.49/305.84
  6. Step 6: Final answer
    x = 198.56

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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.