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Finding the Fourth Proportional to 165.19, 227.82 and 99.65

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Solution

The fourth proportional to 165.19, 227.82 and 99.65 is: 137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.19 : 227.82 = 99.65 : x
  2. Step 2: Convert to fraction form
    165.19/227.82 = 99.65/x
  3. Step 3: Cross multiply
    165.19x = 227.82 × 99.65
  4. Step 4: Simplify right side
    165.19x = 22,702.26
  5. Step 5: Solve for x
    x = 22,702.26/165.19
  6. Step 6: Final answer
    x = 137.43

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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.