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Finding the Fourth Proportional to 186.78, 278.50 and 186.52

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Solution

The fourth proportional to 186.78, 278.50 and 186.52 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 278.50 = 186.52 : x
  2. Step 2: Convert to fraction form
    186.78/278.50 = 186.52/x
  3. Step 3: Cross multiply
    186.78x = 278.50 × 186.52
  4. Step 4: Simplify right side
    186.78x = 51,946.44
  5. Step 5: Solve for x
    x = 51,946.44/186.78
  6. Step 6: Final answer
    x = 278.12

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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.