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Finding the Fourth Proportional to 68.25, 101.78 and 63.29

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Solution

The fourth proportional to 68.25, 101.78 and 63.29 is: 94.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.25 : 101.78 = 63.29 : x
  2. Step 2: Convert to fraction form
    68.25/101.78 = 63.29/x
  3. Step 3: Cross multiply
    68.25x = 101.78 × 63.29
  4. Step 4: Simplify right side
    68.25x = 6,441.59
  5. Step 5: Solve for x
    x = 6,441.59/68.25
  6. Step 6: Final answer
    x = 94.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.