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Finding the Fourth Proportional to 766.18, 1,149.45 and 218.37

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Solution

The fourth proportional to 766.18, 1,149.45 and 218.37 is: 327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.18 : 1,149.45 = 218.37 : x
  2. Step 2: Convert to fraction form
    766.18/1,149.45 = 218.37/x
  3. Step 3: Cross multiply
    766.18x = 1,149.45 × 218.37
  4. Step 4: Simplify right side
    766.18x = 251,005.40
  5. Step 5: Solve for x
    x = 251,005.40/766.18
  6. Step 6: Final answer
    x = 327.61

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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.