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Finding the Fourth Proportional to 76.84, 105.41 and 74.82

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Solution

The fourth proportional to 76.84, 105.41 and 74.82 is: 102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.84 : 105.41 = 74.82 : x
  2. Step 2: Convert to fraction form
    76.84/105.41 = 74.82/x
  3. Step 3: Cross multiply
    76.84x = 105.41 × 74.82
  4. Step 4: Simplify right side
    76.84x = 7,886.32
  5. Step 5: Solve for x
    x = 7,886.32/76.84
  6. Step 6: Final answer
    x = 102.64

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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.