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Finding the Fourth Proportional to 314.38, 475 and 311.41

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Solution

The fourth proportional to 314.38, 475 and 311.41 is: 470.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.38 : 475 = 311.41 : x
  2. Step 2: Convert to fraction form
    314.38/475 = 311.41/x
  3. Step 3: Cross multiply
    314.38x = 475 × 311.41
  4. Step 4: Simplify right side
    314.38x = 147,919.75
  5. Step 5: Solve for x
    x = 147,919.75/314.38
  6. Step 6: Final answer
    x = 470.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.