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Finding the Fourth Proportional to 186.53, 279.96 and 134.52

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Solution

The fourth proportional to 186.53, 279.96 and 134.52 is: 201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.53 : 279.96 = 134.52 : x
  2. Step 2: Convert to fraction form
    186.53/279.96 = 134.52/x
  3. Step 3: Cross multiply
    186.53x = 279.96 × 134.52
  4. Step 4: Simplify right side
    186.53x = 37,660.22
  5. Step 5: Solve for x
    x = 37,660.22/186.53
  6. Step 6: Final answer
    x = 201.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.