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Finding the Fourth Proportional to 466.75, 698.70 and 311.43

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Solution

The fourth proportional to 466.75, 698.70 and 311.43 is: 466.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.75 : 698.70 = 311.43 : x
  2. Step 2: Convert to fraction form
    466.75/698.70 = 311.43/x
  3. Step 3: Cross multiply
    466.75x = 698.70 × 311.43
  4. Step 4: Simplify right side
    466.75x = 217,596.14
  5. Step 5: Solve for x
    x = 217,596.14/466.75
  6. Step 6: Final answer
    x = 466.19

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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.