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Finding the Fourth Proportional to 310.80, 429.12 and 200.56

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Solution

The fourth proportional to 310.80, 429.12 and 200.56 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.80 : 429.12 = 200.56 : x
  2. Step 2: Convert to fraction form
    310.80/429.12 = 200.56/x
  3. Step 3: Cross multiply
    310.80x = 429.12 × 200.56
  4. Step 4: Simplify right side
    310.80x = 86,064.31
  5. Step 5: Solve for x
    x = 86,064.31/310.80
  6. Step 6: Final answer
    x = 276.91

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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.