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Finding the Fourth Proportional to 202.91, 281.98 and 200.68

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Solution

The fourth proportional to 202.91, 281.98 and 200.68 is: 278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.91 : 281.98 = 200.68 : x
  2. Step 2: Convert to fraction form
    202.91/281.98 = 200.68/x
  3. Step 3: Cross multiply
    202.91x = 281.98 × 200.68
  4. Step 4: Simplify right side
    202.91x = 56,587.29
  5. Step 5: Solve for x
    x = 56,587.29/202.91
  6. Step 6: Final answer
    x = 278.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.