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Finding the Fourth Proportional to 310.97, 429.28 and 179.95

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Solution

The fourth proportional to 310.97, 429.28 and 179.95 is: 248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.97 : 429.28 = 179.95 : x
  2. Step 2: Convert to fraction form
    310.97/429.28 = 179.95/x
  3. Step 3: Cross multiply
    310.97x = 429.28 × 179.95
  4. Step 4: Simplify right side
    310.97x = 77,247.41
  5. Step 5: Solve for x
    x = 77,247.41/310.97
  6. Step 6: Final answer
    x = 248.41

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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.