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Finding the Fourth Proportional to 392.45, 587.76 and 218.70

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Solution

The fourth proportional to 392.45, 587.76 and 218.70 is: 327.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.45 : 587.76 = 218.70 : x
  2. Step 2: Convert to fraction form
    392.45/587.76 = 218.70/x
  3. Step 3: Cross multiply
    392.45x = 587.76 × 218.70
  4. Step 4: Simplify right side
    392.45x = 128,542.29
  5. Step 5: Solve for x
    x = 128,542.29/392.45
  6. Step 6: Final answer
    x = 327.54

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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.