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Finding the Fourth Proportional to 185.24, 255.65 and 107.61

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Solution

The fourth proportional to 185.24, 255.65 and 107.61 is: 148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.24 : 255.65 = 107.61 : x
  2. Step 2: Convert to fraction form
    185.24/255.65 = 107.61/x
  3. Step 3: Cross multiply
    185.24x = 255.65 × 107.61
  4. Step 4: Simplify right side
    185.24x = 27,510.50
  5. Step 5: Solve for x
    x = 27,510.50/185.24
  6. Step 6: Final answer
    x = 148.52

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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.