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Finding the Fourth Proportional to 310.28, 465.17 and 267.45

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Solution

The fourth proportional to 310.28, 465.17 and 267.45 is: 400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.28 : 465.17 = 267.45 : x
  2. Step 2: Convert to fraction form
    310.28/465.17 = 267.45/x
  3. Step 3: Cross multiply
    310.28x = 465.17 × 267.45
  4. Step 4: Simplify right side
    310.28x = 124,406.05
  5. Step 5: Solve for x
    x = 124,406.05/310.28
  6. Step 6: Final answer
    x = 400.95

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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.