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Finding the Fourth Proportional to 165.28, 229.12 and 157.44

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Solution

The fourth proportional to 165.28, 229.12 and 157.44 is: 218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.28 : 229.12 = 157.44 : x
  2. Step 2: Convert to fraction form
    165.28/229.12 = 157.44/x
  3. Step 3: Cross multiply
    165.28x = 229.12 × 157.44
  4. Step 4: Simplify right side
    165.28x = 36,072.65
  5. Step 5: Solve for x
    x = 36,072.65/165.28
  6. Step 6: Final answer
    x = 218.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.