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Finding the Fourth Proportional to 202.68, 281.57 and 200.78

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Solution

The fourth proportional to 202.68, 281.57 and 200.78 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.68 : 281.57 = 200.78 : x
  2. Step 2: Convert to fraction form
    202.68/281.57 = 200.78/x
  3. Step 3: Cross multiply
    202.68x = 281.57 × 200.78
  4. Step 4: Simplify right side
    202.68x = 56,533.88
  5. Step 5: Solve for x
    x = 56,533.88/202.68
  6. Step 6: Final answer
    x = 278.94

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Find fourth proportional to 101.34, 140.79 and 100.39
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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.