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Finding the Fourth Proportional to 237.98, 355.22 and 218.72

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Solution

The fourth proportional to 237.98, 355.22 and 218.72 is: 326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.98 : 355.22 = 218.72 : x
  2. Step 2: Convert to fraction form
    237.98/355.22 = 218.72/x
  3. Step 3: Cross multiply
    237.98x = 355.22 × 218.72
  4. Step 4: Simplify right side
    237.98x = 77,693.72
  5. Step 5: Solve for x
    x = 77,693.72/237.98
  6. Step 6: Final answer
    x = 326.47

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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.