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Finding the Fourth Proportional to 451.28, 674.11 and 378.38

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Solution

The fourth proportional to 451.28, 674.11 and 378.38 is: 565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 674.11 = 378.38 : x
  2. Step 2: Convert to fraction form
    451.28/674.11 = 378.38/x
  3. Step 3: Cross multiply
    451.28x = 674.11 × 378.38
  4. Step 4: Simplify right side
    451.28x = 255,069.74
  5. Step 5: Solve for x
    x = 255,069.74/451.28
  6. Step 6: Final answer
    x = 565.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.