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Finding the Fourth Proportional to 76.49, 114.78 and 30.84

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Solution

The fourth proportional to 76.49, 114.78 and 30.84 is: 46.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.49 : 114.78 = 30.84 : x
  2. Step 2: Convert to fraction form
    76.49/114.78 = 30.84/x
  3. Step 3: Cross multiply
    76.49x = 114.78 × 30.84
  4. Step 4: Simplify right side
    76.49x = 3,540.18
  5. Step 5: Solve for x
    x = 3,540.18/76.49
  6. Step 6: Final answer
    x = 46.28

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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.