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Finding the Fourth Proportional to 51.99, 77.99 and 40.71

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Solution

The fourth proportional to 51.99, 77.99 and 40.71 is: 61.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 77.99 = 40.71 : x
  2. Step 2: Convert to fraction form
    51.99/77.99 = 40.71/x
  3. Step 3: Cross multiply
    51.99x = 77.99 × 40.71
  4. Step 4: Simplify right side
    51.99x = 3,174.97
  5. Step 5: Solve for x
    x = 3,174.97/51.99
  6. Step 6: Final answer
    x = 61.07

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Why These Related Problems?

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