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Finding the Fourth Proportional to 376.10, 564.15 and 315.80

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Solution

The fourth proportional to 376.10, 564.15 and 315.80 is: 473.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.10 : 564.15 = 315.80 : x
  2. Step 2: Convert to fraction form
    376.10/564.15 = 315.80/x
  3. Step 3: Cross multiply
    376.10x = 564.15 × 315.80
  4. Step 4: Simplify right side
    376.10x = 178,158.57
  5. Step 5: Solve for x
    x = 178,158.57/376.10
  6. Step 6: Final answer
    x = 473.70

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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.