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Finding the Fourth Proportional to 376.28, 563.96 and 315.74

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Solution

The fourth proportional to 376.28, 563.96 and 315.74 is: 473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.28 : 563.96 = 315.74 : x
  2. Step 2: Convert to fraction form
    376.28/563.96 = 315.74/x
  3. Step 3: Cross multiply
    376.28x = 563.96 × 315.74
  4. Step 4: Simplify right side
    376.28x = 178,064.73
  5. Step 5: Solve for x
    x = 178,064.73/376.28
  6. Step 6: Final answer
    x = 473.22

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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.