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Finding the Fourth Proportional to 110.78, 166.08 and 65.16

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Solution

The fourth proportional to 110.78, 166.08 and 65.16 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 166.08 = 65.16 : x
  2. Step 2: Convert to fraction form
    110.78/166.08 = 65.16/x
  3. Step 3: Cross multiply
    110.78x = 166.08 × 65.16
  4. Step 4: Simplify right side
    110.78x = 10,821.77
  5. Step 5: Solve for x
    x = 10,821.77/110.78
  6. Step 6: Final answer
    x = 97.69

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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.