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Finding the Fourth Proportional to 73.14, 110.35 and 69.78

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Solution

The fourth proportional to 73.14, 110.35 and 69.78 is: 105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.14 : 110.35 = 69.78 : x
  2. Step 2: Convert to fraction form
    73.14/110.35 = 69.78/x
  3. Step 3: Cross multiply
    73.14x = 110.35 × 69.78
  4. Step 4: Simplify right side
    73.14x = 7,700.22
  5. Step 5: Solve for x
    x = 7,700.22/73.14
  6. Step 6: Final answer
    x = 105.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.