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Finding the Fourth Proportional to 51.99, 77.78 and 50.52

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Solution

The fourth proportional to 51.99, 77.78 and 50.52 is: 75.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 77.78 = 50.52 : x
  2. Step 2: Convert to fraction form
    51.99/77.78 = 50.52/x
  3. Step 3: Cross multiply
    51.99x = 77.78 × 50.52
  4. Step 4: Simplify right side
    51.99x = 3,929.45
  5. Step 5: Solve for x
    x = 3,929.45/51.99
  6. Step 6: Final answer
    x = 75.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.