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Finding the Fourth Proportional to 237.60, 327.84 and 149.04

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Solution

The fourth proportional to 237.60, 327.84 and 149.04 is: 205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.60 : 327.84 = 149.04 : x
  2. Step 2: Convert to fraction form
    237.60/327.84 = 149.04/x
  3. Step 3: Cross multiply
    237.60x = 327.84 × 149.04
  4. Step 4: Simplify right side
    237.60x = 48,861.27
  5. Step 5: Solve for x
    x = 48,861.27/237.60
  6. Step 6: Final answer
    x = 205.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.