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Finding the Fourth Proportional to 269.72, 371.67 and 266.31

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Solution

The fourth proportional to 269.72, 371.67 and 266.31 is: 366.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 371.67 = 266.31 : x
  2. Step 2: Convert to fraction form
    269.72/371.67 = 266.31/x
  3. Step 3: Cross multiply
    269.72x = 371.67 × 266.31
  4. Step 4: Simplify right side
    269.72x = 98,979.44
  5. Step 5: Solve for x
    x = 98,979.44/269.72
  6. Step 6: Final answer
    x = 366.98

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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.