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Finding the Fourth Proportional to 166.80, 228.71 and 161.00

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Solution

The fourth proportional to 166.80, 228.71 and 161.00 is: 220.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.80 : 228.71 = 161.00 : x
  2. Step 2: Convert to fraction form
    166.80/228.71 = 161.00/x
  3. Step 3: Cross multiply
    166.80x = 228.71 × 161.00
  4. Step 4: Simplify right side
    166.80x = 36,823.28
  5. Step 5: Solve for x
    x = 36,823.28/166.80
  6. Step 6: Final answer
    x = 220.76

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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.