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Finding the Fourth Proportional to 68.32, 101.78 and 65.05

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Solution

The fourth proportional to 68.32, 101.78 and 65.05 is: 96.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.32 : 101.78 = 65.05 : x
  2. Step 2: Convert to fraction form
    68.32/101.78 = 65.05/x
  3. Step 3: Cross multiply
    68.32x = 101.78 × 65.05
  4. Step 4: Simplify right side
    68.32x = 6,620.46
  5. Step 5: Solve for x
    x = 6,620.46/68.32
  6. Step 6: Final answer
    x = 96.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.