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Finding the Fourth Proportional to 318.46, 441.18 and 310.90

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Solution

The fourth proportional to 318.46, 441.18 and 310.90 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 441.18 = 310.90 : x
  2. Step 2: Convert to fraction form
    318.46/441.18 = 310.90/x
  3. Step 3: Cross multiply
    318.46x = 441.18 × 310.90
  4. Step 4: Simplify right side
    318.46x = 137,162.86
  5. Step 5: Solve for x
    x = 137,162.86/318.46
  6. Step 6: Final answer
    x = 430.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.