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Finding the Fourth Proportional to 269.58, 371.70 and 217.02

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Solution

The fourth proportional to 269.58, 371.70 and 217.02 is: 299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 371.70 = 217.02 : x
  2. Step 2: Convert to fraction form
    269.58/371.70 = 217.02/x
  3. Step 3: Cross multiply
    269.58x = 371.70 × 217.02
  4. Step 4: Simplify right side
    269.58x = 80,666.33
  5. Step 5: Solve for x
    x = 80,666.33/269.58
  6. Step 6: Final answer
    x = 299.23

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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.