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Finding the Fourth Proportional to 51.61, 77.77 and 49.99

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Solution

The fourth proportional to 51.61, 77.77 and 49.99 is: 75.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.61 : 77.77 = 49.99 : x
  2. Step 2: Convert to fraction form
    51.61/77.77 = 49.99/x
  3. Step 3: Cross multiply
    51.61x = 77.77 × 49.99
  4. Step 4: Simplify right side
    51.61x = 3,887.72
  5. Step 5: Solve for x
    x = 3,887.72/51.61
  6. Step 6: Final answer
    x = 75.33

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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.