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Finding the Fourth Proportional to 77.00, 105.98 and 67.77

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Solution

The fourth proportional to 77.00, 105.98 and 67.77 is: 93.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 105.98 = 67.77 : x
  2. Step 2: Convert to fraction form
    77.00/105.98 = 67.77/x
  3. Step 3: Cross multiply
    77.00x = 105.98 × 67.77
  4. Step 4: Simplify right side
    77.00x = 7,181.93
  5. Step 5: Solve for x
    x = 7,181.93/77.00
  6. Step 6: Final answer
    x = 93.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.