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Finding the Fourth Proportional to 68.67, 94.68 and 49.23

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Solution

The fourth proportional to 68.67, 94.68 and 49.23 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.67 : 94.68 = 49.23 : x
  2. Step 2: Convert to fraction form
    68.67/94.68 = 49.23/x
  3. Step 3: Cross multiply
    68.67x = 94.68 × 49.23
  4. Step 4: Simplify right side
    68.67x = 4,661.10
  5. Step 5: Solve for x
    x = 4,661.10/68.67
  6. Step 6: Final answer
    x = 67.88

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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.