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Finding the Fourth Proportional to 206.90, 311.57 and 180.17

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Solution

The fourth proportional to 206.90, 311.57 and 180.17 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 311.57 = 180.17 : x
  2. Step 2: Convert to fraction form
    206.90/311.57 = 180.17/x
  3. Step 3: Cross multiply
    206.90x = 311.57 × 180.17
  4. Step 4: Simplify right side
    206.90x = 56,135.57
  5. Step 5: Solve for x
    x = 56,135.57/206.90
  6. Step 6: Final answer
    x = 271.32

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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.