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Finding the Fourth Proportional to 51.22, 77.28 and 49.78

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Solution

The fourth proportional to 51.22, 77.28 and 49.78 is: 75.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 77.28 = 49.78 : x
  2. Step 2: Convert to fraction form
    51.22/77.28 = 49.78/x
  3. Step 3: Cross multiply
    51.22x = 77.28 × 49.78
  4. Step 4: Simplify right side
    51.22x = 3,846.75
  5. Step 5: Solve for x
    x = 3,846.75/51.22
  6. Step 6: Final answer
    x = 75.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.