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Finding the Fourth Proportional to 166.81, 229.99 and 125.28

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Solution

The fourth proportional to 166.81, 229.99 and 125.28 is: 172.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.81 : 229.99 = 125.28 : x
  2. Step 2: Convert to fraction form
    166.81/229.99 = 125.28/x
  3. Step 3: Cross multiply
    166.81x = 229.99 × 125.28
  4. Step 4: Simplify right side
    166.81x = 28,813.07
  5. Step 5: Solve for x
    x = 28,813.07/166.81
  6. Step 6: Final answer
    x = 172.73

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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.