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Finding the Fourth Proportional to 237.72, 354.84 and 213.44

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Solution

The fourth proportional to 237.72, 354.84 and 213.44 is: 318.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 354.84 = 213.44 : x
  2. Step 2: Convert to fraction form
    237.72/354.84 = 213.44/x
  3. Step 3: Cross multiply
    237.72x = 354.84 × 213.44
  4. Step 4: Simplify right side
    237.72x = 75,737.05
  5. Step 5: Solve for x
    x = 75,737.05/237.72
  6. Step 6: Final answer
    x = 318.60

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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.