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Finding the Fourth Proportional to 318.87, 475.89 and 310.67

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Solution

The fourth proportional to 318.87, 475.89 and 310.67 is: 463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.87 : 475.89 = 310.67 : x
  2. Step 2: Convert to fraction form
    318.87/475.89 = 310.67/x
  3. Step 3: Cross multiply
    318.87x = 475.89 × 310.67
  4. Step 4: Simplify right side
    318.87x = 147,844.75
  5. Step 5: Solve for x
    x = 147,844.75/318.87
  6. Step 6: Final answer
    x = 463.65

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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.