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Finding the Fourth Proportional to 269.02, 371.34 and 158.53

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Solution

The fourth proportional to 269.02, 371.34 and 158.53 is: 218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.02 : 371.34 = 158.53 : x
  2. Step 2: Convert to fraction form
    269.02/371.34 = 158.53/x
  3. Step 3: Cross multiply
    269.02x = 371.34 × 158.53
  4. Step 4: Simplify right side
    269.02x = 58,868.53
  5. Step 5: Solve for x
    x = 58,868.53/269.02
  6. Step 6: Final answer
    x = 218.83

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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.