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Finding the Fourth Proportional to 206.34, 282.85 and 205.93

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Solution

The fourth proportional to 206.34, 282.85 and 205.93 is: 282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 282.85 = 205.93 : x
  2. Step 2: Convert to fraction form
    206.34/282.85 = 205.93/x
  3. Step 3: Cross multiply
    206.34x = 282.85 × 205.93
  4. Step 4: Simplify right side
    206.34x = 58,247.30
  5. Step 5: Solve for x
    x = 58,247.30/206.34
  6. Step 6: Final answer
    x = 282.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.