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Finding the Fourth Proportional to 67.05, 92.34 and 57.33

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Solution

The fourth proportional to 67.05, 92.34 and 57.33 is: 78.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.05 : 92.34 = 57.33 : x
  2. Step 2: Convert to fraction form
    67.05/92.34 = 57.33/x
  3. Step 3: Cross multiply
    67.05x = 92.34 × 57.33
  4. Step 4: Simplify right side
    67.05x = 5,293.85
  5. Step 5: Solve for x
    x = 5,293.85/67.05
  6. Step 6: Final answer
    x = 78.95

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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.