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Finding the Fourth Proportional to 206.84, 311.48 and 180.11

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Solution

The fourth proportional to 206.84, 311.48 and 180.11 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.84 : 311.48 = 180.11 : x
  2. Step 2: Convert to fraction form
    206.84/311.48 = 180.11/x
  3. Step 3: Cross multiply
    206.84x = 311.48 × 180.11
  4. Step 4: Simplify right side
    206.84x = 56,100.66
  5. Step 5: Solve for x
    x = 56,100.66/206.84
  6. Step 6: Final answer
    x = 271.23

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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.