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Finding the Fourth Proportional to 51.38, 76.98 and 27.35

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Solution

The fourth proportional to 51.38, 76.98 and 27.35 is: 40.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 76.98 = 27.35 : x
  2. Step 2: Convert to fraction form
    51.38/76.98 = 27.35/x
  3. Step 3: Cross multiply
    51.38x = 76.98 × 27.35
  4. Step 4: Simplify right side
    51.38x = 2,105.02
  5. Step 5: Solve for x
    x = 2,105.02/51.38
  6. Step 6: Final answer
    x = 40.97

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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.