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Finding the Fourth Proportional to 68.09, 93.92 and 42.21

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Solution

The fourth proportional to 68.09, 93.92 and 42.21 is: 58.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.09 : 93.92 = 42.21 : x
  2. Step 2: Convert to fraction form
    68.09/93.92 = 42.21/x
  3. Step 3: Cross multiply
    68.09x = 93.92 × 42.21
  4. Step 4: Simplify right side
    68.09x = 3,964.15
  5. Step 5: Solve for x
    x = 3,964.15/68.09
  6. Step 6: Final answer
    x = 58.22

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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.