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Finding the Fourth Proportional to 68.17, 94.10 and 40.54

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Solution

The fourth proportional to 68.17, 94.10 and 40.54 is: 55.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.17 : 94.10 = 40.54 : x
  2. Step 2: Convert to fraction form
    68.17/94.10 = 40.54/x
  3. Step 3: Cross multiply
    68.17x = 94.10 × 40.54
  4. Step 4: Simplify right side
    68.17x = 3,814.81
  5. Step 5: Solve for x
    x = 3,814.81/68.17
  6. Step 6: Final answer
    x = 55.96

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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.