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Finding the Fourth Proportional to 277.38, 415.39 and 132.75

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Solution

The fourth proportional to 277.38, 415.39 and 132.75 is: 198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.38 : 415.39 = 132.75 : x
  2. Step 2: Convert to fraction form
    277.38/415.39 = 132.75/x
  3. Step 3: Cross multiply
    277.38x = 415.39 × 132.75
  4. Step 4: Simplify right side
    277.38x = 55,143.02
  5. Step 5: Solve for x
    x = 55,143.02/277.38
  6. Step 6: Final answer
    x = 198.80

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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.