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Finding the Fourth Proportional to 165.93, 229.07 and 103.82

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Solution

The fourth proportional to 165.93, 229.07 and 103.82 is: 143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 229.07 = 103.82 : x
  2. Step 2: Convert to fraction form
    165.93/229.07 = 103.82/x
  3. Step 3: Cross multiply
    165.93x = 229.07 × 103.82
  4. Step 4: Simplify right side
    165.93x = 23,781.16
  5. Step 5: Solve for x
    x = 23,781.16/165.93
  6. Step 6: Final answer
    x = 143.32

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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.