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Finding the Fourth Proportional to 202.74, 278.10 and 197.88

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Solution

The fourth proportional to 202.74, 278.10 and 197.88 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.74 : 278.10 = 197.88 : x
  2. Step 2: Convert to fraction form
    202.74/278.10 = 197.88/x
  3. Step 3: Cross multiply
    202.74x = 278.10 × 197.88
  4. Step 4: Simplify right side
    202.74x = 55,030.43
  5. Step 5: Solve for x
    x = 55,030.43/202.74
  6. Step 6: Final answer
    x = 271.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.