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Finding the Fourth Proportional to 206.55, 311.04 and 166.05

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Solution

The fourth proportional to 206.55, 311.04 and 166.05 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 311.04 = 166.05 : x
  2. Step 2: Convert to fraction form
    206.55/311.04 = 166.05/x
  3. Step 3: Cross multiply
    206.55x = 311.04 × 166.05
  4. Step 4: Simplify right side
    206.55x = 51,648.19
  5. Step 5: Solve for x
    x = 51,648.19/206.55
  6. Step 6: Final answer
    x = 250.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.