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Finding the Fourth Proportional to 195.19, 269.20 and 142.91

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Solution

The fourth proportional to 195.19, 269.20 and 142.91 is: 197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.19 : 269.20 = 142.91 : x
  2. Step 2: Convert to fraction form
    195.19/269.20 = 142.91/x
  3. Step 3: Cross multiply
    195.19x = 269.20 × 142.91
  4. Step 4: Simplify right side
    195.19x = 38,471.37
  5. Step 5: Solve for x
    x = 38,471.37/195.19
  6. Step 6: Final answer
    x = 197.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.