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Finding the Fourth Proportional to 310.07, 463.97 and 267.23

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Solution

The fourth proportional to 310.07, 463.97 and 267.23 is: 399.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.07 : 463.97 = 267.23 : x
  2. Step 2: Convert to fraction form
    310.07/463.97 = 267.23/x
  3. Step 3: Cross multiply
    310.07x = 463.97 × 267.23
  4. Step 4: Simplify right side
    310.07x = 123,983.05
  5. Step 5: Solve for x
    x = 123,983.05/310.07
  6. Step 6: Final answer
    x = 399.86

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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.