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Finding the Fourth Proportional to 76.43, 114.64 and 22.33

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Solution

The fourth proportional to 76.43, 114.64 and 22.33 is: 33.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 114.64 = 22.33 : x
  2. Step 2: Convert to fraction form
    76.43/114.64 = 22.33/x
  3. Step 3: Cross multiply
    76.43x = 114.64 × 22.33
  4. Step 4: Simplify right side
    76.43x = 2,559.48
  5. Step 5: Solve for x
    x = 2,559.48/76.43
  6. Step 6: Final answer
    x = 33.49

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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.