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Finding the Fourth Proportional to 68.65, 101.81 and 68.39

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Solution

The fourth proportional to 68.65, 101.81 and 68.39 is: 101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.65 : 101.81 = 68.39 : x
  2. Step 2: Convert to fraction form
    68.65/101.81 = 68.39/x
  3. Step 3: Cross multiply
    68.65x = 101.81 × 68.39
  4. Step 4: Simplify right side
    68.65x = 6,963.02
  5. Step 5: Solve for x
    x = 6,963.02/68.65
  6. Step 6: Final answer
    x = 101.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.