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Finding the Fourth Proportional to 392.13, 587.25 and 218.39

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Solution

The fourth proportional to 392.13, 587.25 and 218.39 is: 327.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.13 : 587.25 = 218.39 : x
  2. Step 2: Convert to fraction form
    392.13/587.25 = 218.39/x
  3. Step 3: Cross multiply
    392.13x = 587.25 × 218.39
  4. Step 4: Simplify right side
    392.13x = 128,246.59
  5. Step 5: Solve for x
    x = 128,246.59/392.13
  6. Step 6: Final answer
    x = 327.05

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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.