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Finding the Fourth Proportional to 269.20, 371.49 and 152.75

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Solution

The fourth proportional to 269.20, 371.49 and 152.75 is: 210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.20 : 371.49 = 152.75 : x
  2. Step 2: Convert to fraction form
    269.20/371.49 = 152.75/x
  3. Step 3: Cross multiply
    269.20x = 371.49 × 152.75
  4. Step 4: Simplify right side
    269.20x = 56,745.10
  5. Step 5: Solve for x
    x = 56,745.10/269.20
  6. Step 6: Final answer
    x = 210.79

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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.