Home / 165.20-229.14-161.15

Finding the Fourth Proportional to 165.20, 229.14 and 161.15

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Solution

The fourth proportional to 165.20, 229.14 and 161.15 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.20 : 229.14 = 161.15 : x
  2. Step 2: Convert to fraction form
    165.20/229.14 = 161.15/x
  3. Step 3: Cross multiply
    165.20x = 229.14 × 161.15
  4. Step 4: Simplify right side
    165.20x = 36,925.91
  5. Step 5: Solve for x
    x = 36,925.91/165.20
  6. Step 6: Final answer
    x = 223.52

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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.