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Finding the Fourth Proportional to 237.28, 326.12 and 202.72

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Solution

The fourth proportional to 237.28, 326.12 and 202.72 is: 278.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.28 : 326.12 = 202.72 : x
  2. Step 2: Convert to fraction form
    237.28/326.12 = 202.72/x
  3. Step 3: Cross multiply
    237.28x = 326.12 × 202.72
  4. Step 4: Simplify right side
    237.28x = 66,111.05
  5. Step 5: Solve for x
    x = 66,111.05/237.28
  6. Step 6: Final answer
    x = 278.62

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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.