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Finding the Fourth Proportional to 68.49, 94.36 and 54.72

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Solution

The fourth proportional to 68.49, 94.36 and 54.72 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.49 : 94.36 = 54.72 : x
  2. Step 2: Convert to fraction form
    68.49/94.36 = 54.72/x
  3. Step 3: Cross multiply
    68.49x = 94.36 × 54.72
  4. Step 4: Simplify right side
    68.49x = 5,163.38
  5. Step 5: Solve for x
    x = 5,163.38/68.49
  6. Step 6: Final answer
    x = 75.39

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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.