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Finding the Fourth Proportional to 77.00, 105.64 and 74.69

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Solution

The fourth proportional to 77.00, 105.64 and 74.69 is: 102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 105.64 = 74.69 : x
  2. Step 2: Convert to fraction form
    77.00/105.64 = 74.69/x
  3. Step 3: Cross multiply
    77.00x = 105.64 × 74.69
  4. Step 4: Simplify right side
    77.00x = 7,890.14
  5. Step 5: Solve for x
    x = 7,890.14/77.00
  6. Step 6: Final answer
    x = 102.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.