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Finding the Fourth Proportional to 466.67, 642.98 and 311.15

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Solution

The fourth proportional to 466.67, 642.98 and 311.15 is: 428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.67 : 642.98 = 311.15 : x
  2. Step 2: Convert to fraction form
    466.67/642.98 = 311.15/x
  3. Step 3: Cross multiply
    466.67x = 642.98 × 311.15
  4. Step 4: Simplify right side
    466.67x = 200,060.79
  5. Step 5: Solve for x
    x = 200,060.79/466.67
  6. Step 6: Final answer
    x = 428.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.