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Finding the Fourth Proportional to 68.22, 93.49 and 61.74

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Solution

The fourth proportional to 68.22, 93.49 and 61.74 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.22 : 93.49 = 61.74 : x
  2. Step 2: Convert to fraction form
    68.22/93.49 = 61.74/x
  3. Step 3: Cross multiply
    68.22x = 93.49 × 61.74
  4. Step 4: Simplify right side
    68.22x = 5,771.92
  5. Step 5: Solve for x
    x = 5,771.92/68.22
  6. Step 6: Final answer
    x = 84.61

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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.