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Finding the Fourth Proportional to 311.41, 429.64 and 200.81

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Solution

The fourth proportional to 311.41, 429.64 and 200.81 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.41 : 429.64 = 200.81 : x
  2. Step 2: Convert to fraction form
    311.41/429.64 = 200.81/x
  3. Step 3: Cross multiply
    311.41x = 429.64 × 200.81
  4. Step 4: Simplify right side
    311.41x = 86,276.58
  5. Step 5: Solve for x
    x = 86,276.58/311.41
  6. Step 6: Final answer
    x = 277.05

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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.