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Finding the Fourth Proportional to 185.12, 277.68 and 103.84

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Solution

The fourth proportional to 185.12, 277.68 and 103.84 is: 155.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.12 : 277.68 = 103.84 : x
  2. Step 2: Convert to fraction form
    185.12/277.68 = 103.84/x
  3. Step 3: Cross multiply
    185.12x = 277.68 × 103.84
  4. Step 4: Simplify right side
    185.12x = 28,834.29
  5. Step 5: Solve for x
    x = 28,834.29/185.12
  6. Step 6: Final answer
    x = 155.76

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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.