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Finding the Fourth Proportional to 70.43, 96.78 and 67.25

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Solution

The fourth proportional to 70.43, 96.78 and 67.25 is: 92.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.43 : 96.78 = 67.25 : x
  2. Step 2: Convert to fraction form
    70.43/96.78 = 67.25/x
  3. Step 3: Cross multiply
    70.43x = 96.78 × 67.25
  4. Step 4: Simplify right side
    70.43x = 6,508.46
  5. Step 5: Solve for x
    x = 6,508.46/70.43
  6. Step 6: Final answer
    x = 92.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.