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Finding the Fourth Proportional to 168.69, 229.68 and 168.15

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Solution

The fourth proportional to 168.69, 229.68 and 168.15 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.69 : 229.68 = 168.15 : x
  2. Step 2: Convert to fraction form
    168.69/229.68 = 168.15/x
  3. Step 3: Cross multiply
    168.69x = 229.68 × 168.15
  4. Step 4: Simplify right side
    168.69x = 38,620.69
  5. Step 5: Solve for x
    x = 38,620.69/168.69
  6. Step 6: Final answer
    x = 228.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.