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Finding the Fourth Proportional to 129.72, 193.77 and 110.37

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Solution

The fourth proportional to 129.72, 193.77 and 110.37 is: 164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.72 : 193.77 = 110.37 : x
  2. Step 2: Convert to fraction form
    129.72/193.77 = 110.37/x
  3. Step 3: Cross multiply
    129.72x = 193.77 × 110.37
  4. Step 4: Simplify right side
    129.72x = 21,386.39
  5. Step 5: Solve for x
    x = 21,386.39/129.72
  6. Step 6: Final answer
    x = 164.87

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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.