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Finding the Fourth Proportional to 206.20, 286.50 and 204.06

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Solution

The fourth proportional to 206.20, 286.50 and 204.06 is: 283.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.20 : 286.50 = 204.06 : x
  2. Step 2: Convert to fraction form
    206.20/286.50 = 204.06/x
  3. Step 3: Cross multiply
    206.20x = 286.50 × 204.06
  4. Step 4: Simplify right side
    206.20x = 58,461.76
  5. Step 5: Solve for x
    x = 58,461.76/206.20
  6. Step 6: Final answer
    x = 283.53

Related Problems

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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.