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Finding the Fourth Proportional to 206.29, 307.61 and 204.46

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Solution

The fourth proportional to 206.29, 307.61 and 204.46 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 307.61 = 204.46 : x
  2. Step 2: Convert to fraction form
    206.29/307.61 = 204.46/x
  3. Step 3: Cross multiply
    206.29x = 307.61 × 204.46
  4. Step 4: Simplify right side
    206.29x = 62,893.94
  5. Step 5: Solve for x
    x = 62,893.94/206.29
  6. Step 6: Final answer
    x = 304.88

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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.