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Finding the Fourth Proportional to 166.86, 230.25 and 111.59

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Solution

The fourth proportional to 166.86, 230.25 and 111.59 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.86 : 230.25 = 111.59 : x
  2. Step 2: Convert to fraction form
    166.86/230.25 = 111.59/x
  3. Step 3: Cross multiply
    166.86x = 230.25 × 111.59
  4. Step 4: Simplify right side
    166.86x = 25,692.86
  5. Step 5: Solve for x
    x = 25,692.86/166.86
  6. Step 6: Final answer
    x = 153.98

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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.