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Finding the Fourth Proportional to 206.64, 311.16 and 181.24

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Solution

The fourth proportional to 206.64, 311.16 and 181.24 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.64 : 311.16 = 181.24 : x
  2. Step 2: Convert to fraction form
    206.64/311.16 = 181.24/x
  3. Step 3: Cross multiply
    206.64x = 311.16 × 181.24
  4. Step 4: Simplify right side
    206.64x = 56,394.64
  5. Step 5: Solve for x
    x = 56,394.64/206.64
  6. Step 6: Final answer
    x = 272.91

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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.