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Finding the Fourth Proportional to 68.88, 103.40 and 65.13

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Solution

The fourth proportional to 68.88, 103.40 and 65.13 is: 97.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.88 : 103.40 = 65.13 : x
  2. Step 2: Convert to fraction form
    68.88/103.40 = 65.13/x
  3. Step 3: Cross multiply
    68.88x = 103.40 × 65.13
  4. Step 4: Simplify right side
    68.88x = 6,734.45
  5. Step 5: Solve for x
    x = 6,734.45/68.88
  6. Step 6: Final answer
    x = 97.78

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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.