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Finding the Fourth Proportional to 166.41, 229.79 and 158.99

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Solution

The fourth proportional to 166.41, 229.79 and 158.99 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 229.79 = 158.99 : x
  2. Step 2: Convert to fraction form
    166.41/229.79 = 158.99/x
  3. Step 3: Cross multiply
    166.41x = 229.79 × 158.99
  4. Step 4: Simplify right side
    166.41x = 36,534.42
  5. Step 5: Solve for x
    x = 36,534.42/166.41
  6. Step 6: Final answer
    x = 219.54

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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.