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Finding the Fourth Proportional to 110.25, 151.77 and 94.68

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Solution

The fourth proportional to 110.25, 151.77 and 94.68 is: 130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 151.77 = 94.68 : x
  2. Step 2: Convert to fraction form
    110.25/151.77 = 94.68/x
  3. Step 3: Cross multiply
    110.25x = 151.77 × 94.68
  4. Step 4: Simplify right side
    110.25x = 14,369.58
  5. Step 5: Solve for x
    x = 14,369.58/110.25
  6. Step 6: Final answer
    x = 130.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.