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Finding the Fourth Proportional to 51.38, 77.06 and 19.31

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Solution

The fourth proportional to 51.38, 77.06 and 19.31 is: 28.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 77.06 = 19.31 : x
  2. Step 2: Convert to fraction form
    51.38/77.06 = 19.31/x
  3. Step 3: Cross multiply
    51.38x = 77.06 × 19.31
  4. Step 4: Simplify right side
    51.38x = 1,488.03
  5. Step 5: Solve for x
    x = 1,488.03/51.38
  6. Step 6: Final answer
    x = 28.96

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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.