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Finding the Fourth Proportional to 379.28, 569.23 and 173.95

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Solution

The fourth proportional to 379.28, 569.23 and 173.95 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.28 : 569.23 = 173.95 : x
  2. Step 2: Convert to fraction form
    379.28/569.23 = 173.95/x
  3. Step 3: Cross multiply
    379.28x = 569.23 × 173.95
  4. Step 4: Simplify right side
    379.28x = 99,015.70
  5. Step 5: Solve for x
    x = 99,015.70/379.28
  6. Step 6: Final answer
    x = 261.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.