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Finding the Fourth Proportional to 186.78, 257.76 and 109.20

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Solution

The fourth proportional to 186.78, 257.76 and 109.20 is: 150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.76 = 109.20 : x
  2. Step 2: Convert to fraction form
    186.78/257.76 = 109.20/x
  3. Step 3: Cross multiply
    186.78x = 257.76 × 109.20
  4. Step 4: Simplify right side
    186.78x = 28,147.39
  5. Step 5: Solve for x
    x = 28,147.39/186.78
  6. Step 6: Final answer
    x = 150.70

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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.