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Finding the Fourth Proportional to 371.87, 558.07 and 179.63

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Solution

The fourth proportional to 371.87, 558.07 and 179.63 is: 269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.87 : 558.07 = 179.63 : x
  2. Step 2: Convert to fraction form
    371.87/558.07 = 179.63/x
  3. Step 3: Cross multiply
    371.87x = 558.07 × 179.63
  4. Step 4: Simplify right side
    371.87x = 100,242.87
  5. Step 5: Solve for x
    x = 100,242.87/371.87
  6. Step 6: Final answer
    x = 269.57

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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.