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Finding the Fourth Proportional to 206.43, 285.17 and 164.93

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Solution

The fourth proportional to 206.43, 285.17 and 164.93 is: 227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 285.17 = 164.93 : x
  2. Step 2: Convert to fraction form
    206.43/285.17 = 164.93/x
  3. Step 3: Cross multiply
    206.43x = 285.17 × 164.93
  4. Step 4: Simplify right side
    206.43x = 47,030.84
  5. Step 5: Solve for x
    x = 47,030.84/206.43
  6. Step 6: Final answer
    x = 227.83

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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.