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Finding the Fourth Proportional to 249.66, 372.77 and 218.22

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Solution

The fourth proportional to 249.66, 372.77 and 218.22 is: 325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.66 : 372.77 = 218.22 : x
  2. Step 2: Convert to fraction form
    249.66/372.77 = 218.22/x
  3. Step 3: Cross multiply
    249.66x = 372.77 × 218.22
  4. Step 4: Simplify right side
    249.66x = 81,344.20
  5. Step 5: Solve for x
    x = 81,344.20/249.66
  6. Step 6: Final answer
    x = 325.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.