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Finding the Fourth Proportional to 310.38, 464.67 and 207.39

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Solution

The fourth proportional to 310.38, 464.67 and 207.39 is: 310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.38 : 464.67 = 207.39 : x
  2. Step 2: Convert to fraction form
    310.38/464.67 = 207.39/x
  3. Step 3: Cross multiply
    310.38x = 464.67 × 207.39
  4. Step 4: Simplify right side
    310.38x = 96,367.91
  5. Step 5: Solve for x
    x = 96,367.91/310.38
  6. Step 6: Final answer
    x = 310.48

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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.