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Finding the Fourth Proportional to 378.95, 568.19 and 132.10

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Solution

The fourth proportional to 378.95, 568.19 and 132.10 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.95 : 568.19 = 132.10 : x
  2. Step 2: Convert to fraction form
    378.95/568.19 = 132.10/x
  3. Step 3: Cross multiply
    378.95x = 568.19 × 132.10
  4. Step 4: Simplify right side
    378.95x = 75,057.90
  5. Step 5: Solve for x
    x = 75,057.90/378.95
  6. Step 6: Final answer
    x = 198.07

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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.