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Finding the Fourth Proportional to 371.39, 557.89 and 263.86

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Solution

The fourth proportional to 371.39, 557.89 and 263.86 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.39 : 557.89 = 263.86 : x
  2. Step 2: Convert to fraction form
    371.39/557.89 = 263.86/x
  3. Step 3: Cross multiply
    371.39x = 557.89 × 263.86
  4. Step 4: Simplify right side
    371.39x = 147,202.80
  5. Step 5: Solve for x
    x = 147,202.80/371.39
  6. Step 6: Final answer
    x = 396.36

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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.