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Finding the Fourth Proportional to 206.18, 307.76 and 181.88

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Solution

The fourth proportional to 206.18, 307.76 and 181.88 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.18 : 307.76 = 181.88 : x
  2. Step 2: Convert to fraction form
    206.18/307.76 = 181.88/x
  3. Step 3: Cross multiply
    206.18x = 307.76 × 181.88
  4. Step 4: Simplify right side
    206.18x = 55,975.39
  5. Step 5: Solve for x
    x = 55,975.39/206.18
  6. Step 6: Final answer
    x = 271.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.