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Finding the Fourth Proportional to 166.95, 230.10 and 144.78

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Solution

The fourth proportional to 166.95, 230.10 and 144.78 is: 199.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.95 : 230.10 = 144.78 : x
  2. Step 2: Convert to fraction form
    166.95/230.10 = 144.78/x
  3. Step 3: Cross multiply
    166.95x = 230.10 × 144.78
  4. Step 4: Simplify right side
    166.95x = 33,313.88
  5. Step 5: Solve for x
    x = 33,313.88/166.95
  6. Step 6: Final answer
    x = 199.54

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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.