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Finding the Fourth Proportional to 269.06, 370.71 and 195.21

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Solution

The fourth proportional to 269.06, 370.71 and 195.21 is: 268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.06 : 370.71 = 195.21 : x
  2. Step 2: Convert to fraction form
    269.06/370.71 = 195.21/x
  3. Step 3: Cross multiply
    269.06x = 370.71 × 195.21
  4. Step 4: Simplify right side
    269.06x = 72,366.30
  5. Step 5: Solve for x
    x = 72,366.30/269.06
  6. Step 6: Final answer
    x = 268.96

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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.