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Finding the Fourth Proportional to 206.61, 287.13 and 204.03

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Solution

The fourth proportional to 206.61, 287.13 and 204.03 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.61 : 287.13 = 204.03 : x
  2. Step 2: Convert to fraction form
    206.61/287.13 = 204.03/x
  3. Step 3: Cross multiply
    206.61x = 287.13 × 204.03
  4. Step 4: Simplify right side
    206.61x = 58,582.18
  5. Step 5: Solve for x
    x = 58,582.18/206.61
  6. Step 6: Final answer
    x = 283.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.