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Finding the Fourth Proportional to 185.28, 277.84 and 57.04

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Solution

The fourth proportional to 185.28, 277.84 and 57.04 is: 85.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 277.84 = 57.04 : x
  2. Step 2: Convert to fraction form
    185.28/277.84 = 57.04/x
  3. Step 3: Cross multiply
    185.28x = 277.84 × 57.04
  4. Step 4: Simplify right side
    185.28x = 15,847.99
  5. Step 5: Solve for x
    x = 15,847.99/185.28
  6. Step 6: Final answer
    x = 85.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.