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Finding the Fourth Proportional to 371.86, 558.66 and 217.89

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Solution

The fourth proportional to 371.86, 558.66 and 217.89 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.86 : 558.66 = 217.89 : x
  2. Step 2: Convert to fraction form
    371.86/558.66 = 217.89/x
  3. Step 3: Cross multiply
    371.86x = 558.66 × 217.89
  4. Step 4: Simplify right side
    371.86x = 121,725.34
  5. Step 5: Solve for x
    x = 121,725.34/371.86
  6. Step 6: Final answer
    x = 327.34

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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.