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Finding the Fourth Proportional to 206.55, 311.04 and 194.40

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Solution

The fourth proportional to 206.55, 311.04 and 194.40 is: 292.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.55 : 311.04 = 194.40 : x
  2. Step 2: Convert to fraction form
    206.55/311.04 = 194.40/x
  3. Step 3: Cross multiply
    206.55x = 311.04 × 194.40
  4. Step 4: Simplify right side
    206.55x = 60,466.18
  5. Step 5: Solve for x
    x = 60,466.18/206.55
  6. Step 6: Final answer
    x = 292.74

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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.