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Finding the Fourth Proportional to 195.78, 270.14 and 158.87

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Solution

The fourth proportional to 195.78, 270.14 and 158.87 is: 219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.78 : 270.14 = 158.87 : x
  2. Step 2: Convert to fraction form
    195.78/270.14 = 158.87/x
  3. Step 3: Cross multiply
    195.78x = 270.14 × 158.87
  4. Step 4: Simplify right side
    195.78x = 42,917.14
  5. Step 5: Solve for x
    x = 42,917.14/195.78
  6. Step 6: Final answer
    x = 219.21

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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.