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Finding the Fourth Proportional to 310.56, 429.28 and 232.80

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Solution

The fourth proportional to 310.56, 429.28 and 232.80 is: 321.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.56 : 429.28 = 232.80 : x
  2. Step 2: Convert to fraction form
    310.56/429.28 = 232.80/x
  3. Step 3: Cross multiply
    310.56x = 429.28 × 232.80
  4. Step 4: Simplify right side
    310.56x = 99,936.38
  5. Step 5: Solve for x
    x = 99,936.38/310.56
  6. Step 6: Final answer
    x = 321.79

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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.