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Finding the Fourth Proportional to 110.98, 165.71 and 94.78

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Solution

The fourth proportional to 110.98, 165.71 and 94.78 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.98 : 165.71 = 94.78 : x
  2. Step 2: Convert to fraction form
    110.98/165.71 = 94.78/x
  3. Step 3: Cross multiply
    110.98x = 165.71 × 94.78
  4. Step 4: Simplify right side
    110.98x = 15,705.99
  5. Step 5: Solve for x
    x = 15,705.99/110.98
  6. Step 6: Final answer
    x = 141.52

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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.