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Finding the Fourth Proportional to 76.62, 105.75 and 74.28

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Solution

The fourth proportional to 76.62, 105.75 and 74.28 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.62 : 105.75 = 74.28 : x
  2. Step 2: Convert to fraction form
    76.62/105.75 = 74.28/x
  3. Step 3: Cross multiply
    76.62x = 105.75 × 74.28
  4. Step 4: Simplify right side
    76.62x = 7,855.11
  5. Step 5: Solve for x
    x = 7,855.11/76.62
  6. Step 6: Final answer
    x = 102.52

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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.