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Finding the Fourth Proportional to 186.22, 277.80 and 168.81

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Solution

The fourth proportional to 186.22, 277.80 and 168.81 is: 251.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.22 : 277.80 = 168.81 : x
  2. Step 2: Convert to fraction form
    186.22/277.80 = 168.81/x
  3. Step 3: Cross multiply
    186.22x = 277.80 × 168.81
  4. Step 4: Simplify right side
    186.22x = 46,895.42
  5. Step 5: Solve for x
    x = 46,895.42/186.22
  6. Step 6: Final answer
    x = 251.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.