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Finding the Fourth Proportional to 202.12, 276.78 and 191.02

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Solution

The fourth proportional to 202.12, 276.78 and 191.02 is: 261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.12 : 276.78 = 191.02 : x
  2. Step 2: Convert to fraction form
    202.12/276.78 = 191.02/x
  3. Step 3: Cross multiply
    202.12x = 276.78 × 191.02
  4. Step 4: Simplify right side
    202.12x = 52,870.52
  5. Step 5: Solve for x
    x = 52,870.52/202.12
  6. Step 6: Final answer
    x = 261.58

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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.