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Finding the Fourth Proportional to 195.18, 269.24 and 158.37

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Solution

The fourth proportional to 195.18, 269.24 and 158.37 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 269.24 = 158.37 : x
  2. Step 2: Convert to fraction form
    195.18/269.24 = 158.37/x
  3. Step 3: Cross multiply
    195.18x = 269.24 × 158.37
  4. Step 4: Simplify right side
    195.18x = 42,638.75
  5. Step 5: Solve for x
    x = 42,638.75/195.18
  6. Step 6: Final answer
    x = 218.46

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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.