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Finding the Fourth Proportional to 310.97, 464.39 and 295.17

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Solution

The fourth proportional to 310.97, 464.39 and 295.17 is: 440.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 464.39 = 295.17 : x
  2. Step 2: Convert to fraction form
    310.97/464.39 = 295.17/x
  3. Step 3: Cross multiply
    310.97x = 464.39 × 295.17
  4. Step 4: Simplify right side
    310.97x = 137,072.52
  5. Step 5: Solve for x
    x = 137,072.52/310.97
  6. Step 6: Final answer
    x = 440.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.