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Finding the Fourth Proportional to 392.20, 587.34 and 263.56

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Solution

The fourth proportional to 392.20, 587.34 and 263.56 is: 394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.20 : 587.34 = 263.56 : x
  2. Step 2: Convert to fraction form
    392.20/587.34 = 263.56/x
  3. Step 3: Cross multiply
    392.20x = 587.34 × 263.56
  4. Step 4: Simplify right side
    392.20x = 154,799.33
  5. Step 5: Solve for x
    x = 154,799.33/392.20
  6. Step 6: Final answer
    x = 394.69

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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.