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Finding the Fourth Proportional to 67.03, 92.41 and 57.17

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Solution

The fourth proportional to 67.03, 92.41 and 57.17 is: 78.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.03 : 92.41 = 57.17 : x
  2. Step 2: Convert to fraction form
    67.03/92.41 = 57.17/x
  3. Step 3: Cross multiply
    67.03x = 92.41 × 57.17
  4. Step 4: Simplify right side
    67.03x = 5,283.49
  5. Step 5: Solve for x
    x = 5,283.49/67.03
  6. Step 6: Final answer
    x = 78.83

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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.