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Finding the Fourth Proportional to 77.99, 116.78 and 65.77

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Solution

The fourth proportional to 77.99, 116.78 and 65.77 is: 98.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.99 : 116.78 = 65.77 : x
  2. Step 2: Convert to fraction form
    77.99/116.78 = 65.77/x
  3. Step 3: Cross multiply
    77.99x = 116.78 × 65.77
  4. Step 4: Simplify right side
    77.99x = 7,680.62
  5. Step 5: Solve for x
    x = 7,680.62/77.99
  6. Step 6: Final answer
    x = 98.48

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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.