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Finding the Fourth Proportional to 206.90, 285.68 and 193.13

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Solution

The fourth proportional to 206.90, 285.68 and 193.13 is: 266.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.90 : 285.68 = 193.13 : x
  2. Step 2: Convert to fraction form
    206.90/285.68 = 193.13/x
  3. Step 3: Cross multiply
    206.90x = 285.68 × 193.13
  4. Step 4: Simplify right side
    206.90x = 55,174.02
  5. Step 5: Solve for x
    x = 55,174.02/206.90
  6. Step 6: Final answer
    x = 266.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.