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Finding the Fourth Proportional to 310.98, 429.19 and 200.78

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Solution

The fourth proportional to 310.98, 429.19 and 200.78 is: 277.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.98 : 429.19 = 200.78 : x
  2. Step 2: Convert to fraction form
    310.98/429.19 = 200.78/x
  3. Step 3: Cross multiply
    310.98x = 429.19 × 200.78
  4. Step 4: Simplify right side
    310.98x = 86,170.87
  5. Step 5: Solve for x
    x = 86,170.87/310.98
  6. Step 6: Final answer
    x = 277.09

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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.