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Finding the Fourth Proportional to 186.52, 255.14 and 183.70

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Solution

The fourth proportional to 186.52, 255.14 and 183.70 is: 251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.52 : 255.14 = 183.70 : x
  2. Step 2: Convert to fraction form
    186.52/255.14 = 183.70/x
  3. Step 3: Cross multiply
    186.52x = 255.14 × 183.70
  4. Step 4: Simplify right side
    186.52x = 46,869.22
  5. Step 5: Solve for x
    x = 46,869.22/186.52
  6. Step 6: Final answer
    x = 251.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.