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Finding the Fourth Proportional to 165.80, 229.08 and 133.28

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Solution

The fourth proportional to 165.80, 229.08 and 133.28 is: 184.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 229.08 = 133.28 : x
  2. Step 2: Convert to fraction form
    165.80/229.08 = 133.28/x
  3. Step 3: Cross multiply
    165.80x = 229.08 × 133.28
  4. Step 4: Simplify right side
    165.80x = 30,531.78
  5. Step 5: Solve for x
    x = 30,531.78/165.80
  6. Step 6: Final answer
    x = 184.15

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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.