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Finding the Fourth Proportional to 68.78, 94.92 and 64.46

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Solution

The fourth proportional to 68.78, 94.92 and 64.46 is: 88.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.78 : 94.92 = 64.46 : x
  2. Step 2: Convert to fraction form
    68.78/94.92 = 64.46/x
  3. Step 3: Cross multiply
    68.78x = 94.92 × 64.46
  4. Step 4: Simplify right side
    68.78x = 6,118.54
  5. Step 5: Solve for x
    x = 6,118.54/68.78
  6. Step 6: Final answer
    x = 88.96

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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.