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Finding the Fourth Proportional to 186.78, 278.57 and 168.42

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Solution

The fourth proportional to 186.78, 278.57 and 168.42 is: 251.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 278.57 = 168.42 : x
  2. Step 2: Convert to fraction form
    186.78/278.57 = 168.42/x
  3. Step 3: Cross multiply
    186.78x = 278.57 × 168.42
  4. Step 4: Simplify right side
    186.78x = 46,915.92
  5. Step 5: Solve for x
    x = 46,915.92/186.78
  6. Step 6: Final answer
    x = 251.18

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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.