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Finding the Fourth Proportional to 195.71, 269.80 and 154.08

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Solution

The fourth proportional to 195.71, 269.80 and 154.08 is: 212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.71 : 269.80 = 154.08 : x
  2. Step 2: Convert to fraction form
    195.71/269.80 = 154.08/x
  3. Step 3: Cross multiply
    195.71x = 269.80 × 154.08
  4. Step 4: Simplify right side
    195.71x = 41,570.40
  5. Step 5: Solve for x
    x = 41,570.40/195.71
  6. Step 6: Final answer
    x = 212.41

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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.