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Finding the Fourth Proportional to 185.40, 255.81 and 115.46

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Solution

The fourth proportional to 185.40, 255.81 and 115.46 is: 159.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 255.81 = 115.46 : x
  2. Step 2: Convert to fraction form
    185.40/255.81 = 115.46/x
  3. Step 3: Cross multiply
    185.40x = 255.81 × 115.46
  4. Step 4: Simplify right side
    185.40x = 29,535.82
  5. Step 5: Solve for x
    x = 29,535.82/185.40
  6. Step 6: Final answer
    x = 159.31

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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.