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Finding the Fourth Proportional to 237.64, 326.15 and 218.20

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Solution

The fourth proportional to 237.64, 326.15 and 218.20 is: 299.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.64 : 326.15 = 218.20 : x
  2. Step 2: Convert to fraction form
    237.64/326.15 = 218.20/x
  3. Step 3: Cross multiply
    237.64x = 326.15 × 218.20
  4. Step 4: Simplify right side
    237.64x = 71,165.93
  5. Step 5: Solve for x
    x = 71,165.93/237.64
  6. Step 6: Final answer
    x = 299.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.