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Finding the Fourth Proportional to 176.40, 241.61 and 166.43

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Solution

The fourth proportional to 176.40, 241.61 and 166.43 is: 227.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 241.61 = 166.43 : x
  2. Step 2: Convert to fraction form
    176.40/241.61 = 166.43/x
  3. Step 3: Cross multiply
    176.40x = 241.61 × 166.43
  4. Step 4: Simplify right side
    176.40x = 40,211.15
  5. Step 5: Solve for x
    x = 40,211.15/176.40
  6. Step 6: Final answer
    x = 227.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.