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Finding the Fourth Proportional to 166.86, 230.22 and 142.05

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Solution

The fourth proportional to 166.86, 230.22 and 142.05 is: 195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.22 = 142.05 : x
  2. Step 2: Convert to fraction form
    166.86/230.22 = 142.05/x
  3. Step 3: Cross multiply
    166.86x = 230.22 × 142.05
  4. Step 4: Simplify right side
    166.86x = 32,702.75
  5. Step 5: Solve for x
    x = 32,702.75/166.86
  6. Step 6: Final answer
    x = 195.99

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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.