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Finding the Fourth Proportional to 185.31, 277.93 and 69.75

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Solution

The fourth proportional to 185.31, 277.93 and 69.75 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 277.93 = 69.75 : x
  2. Step 2: Convert to fraction form
    185.31/277.93 = 69.75/x
  3. Step 3: Cross multiply
    185.31x = 277.93 × 69.75
  4. Step 4: Simplify right side
    185.31x = 19,385.27
  5. Step 5: Solve for x
    x = 19,385.27/185.31
  6. Step 6: Final answer
    x = 104.61

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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.