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Finding the Fourth Proportional to 52.22, 77.86 and 50.20

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Solution

The fourth proportional to 52.22, 77.86 and 50.20 is: 74.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.22 : 77.86 = 50.20 : x
  2. Step 2: Convert to fraction form
    52.22/77.86 = 50.20/x
  3. Step 3: Cross multiply
    52.22x = 77.86 × 50.20
  4. Step 4: Simplify right side
    52.22x = 3,908.57
  5. Step 5: Solve for x
    x = 3,908.57/52.22
  6. Step 6: Final answer
    x = 74.85

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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.