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Finding the Fourth Proportional to 206.38, 284.64 and 164.86

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Solution

The fourth proportional to 206.38, 284.64 and 164.86 is: 227.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 284.64 = 164.86 : x
  2. Step 2: Convert to fraction form
    206.38/284.64 = 164.86/x
  3. Step 3: Cross multiply
    206.38x = 284.64 × 164.86
  4. Step 4: Simplify right side
    206.38x = 46,925.75
  5. Step 5: Solve for x
    x = 46,925.75/206.38
  6. Step 6: Final answer
    x = 227.38

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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.