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Finding the Fourth Proportional to 310.71, 428.64 and 179.69

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Solution

The fourth proportional to 310.71, 428.64 and 179.69 is: 247.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.71 : 428.64 = 179.69 : x
  2. Step 2: Convert to fraction form
    310.71/428.64 = 179.69/x
  3. Step 3: Cross multiply
    310.71x = 428.64 × 179.69
  4. Step 4: Simplify right side
    310.71x = 77,020.18
  5. Step 5: Solve for x
    x = 77,020.18/310.71
  6. Step 6: Final answer
    x = 247.88

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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.