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Finding the Fourth Proportional to 68.55, 102.86 and 22.91

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Solution

The fourth proportional to 68.55, 102.86 and 22.91 is: 34.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.55 : 102.86 = 22.91 : x
  2. Step 2: Convert to fraction form
    68.55/102.86 = 22.91/x
  3. Step 3: Cross multiply
    68.55x = 102.86 × 22.91
  4. Step 4: Simplify right side
    68.55x = 2,355.89
  5. Step 5: Solve for x
    x = 2,355.89/68.55
  6. Step 6: Final answer
    x = 34.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.