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Finding the Fourth Proportional to 51.78, 77.33 and 45.22

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Solution

The fourth proportional to 51.78, 77.33 and 45.22 is: 67.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.78 : 77.33 = 45.22 : x
  2. Step 2: Convert to fraction form
    51.78/77.33 = 45.22/x
  3. Step 3: Cross multiply
    51.78x = 77.33 × 45.22
  4. Step 4: Simplify right side
    51.78x = 3,496.86
  5. Step 5: Solve for x
    x = 3,496.86/51.78
  6. Step 6: Final answer
    x = 67.53

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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.