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Finding the Fourth Proportional to 195.19, 267.41 and 187.90

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Solution

The fourth proportional to 195.19, 267.41 and 187.90 is: 257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 267.41 = 187.90 : x
  2. Step 2: Convert to fraction form
    195.19/267.41 = 187.90/x
  3. Step 3: Cross multiply
    195.19x = 267.41 × 187.90
  4. Step 4: Simplify right side
    195.19x = 50,246.34
  5. Step 5: Solve for x
    x = 50,246.34/195.19
  6. Step 6: Final answer
    x = 257.42

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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.