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Finding the Fourth Proportional to 51.57, 76.85 and 51.37

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Solution

The fourth proportional to 51.57, 76.85 and 51.37 is: 76.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.57 : 76.85 = 51.37 : x
  2. Step 2: Convert to fraction form
    51.57/76.85 = 51.37/x
  3. Step 3: Cross multiply
    51.57x = 76.85 × 51.37
  4. Step 4: Simplify right side
    51.57x = 3,947.78
  5. Step 5: Solve for x
    x = 3,947.78/51.57
  6. Step 6: Final answer
    x = 76.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.