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Finding the Fourth Proportional to 263.38, 362.86 and 208.10

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Solution

The fourth proportional to 263.38, 362.86 and 208.10 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.38 : 362.86 = 208.10 : x
  2. Step 2: Convert to fraction form
    263.38/362.86 = 208.10/x
  3. Step 3: Cross multiply
    263.38x = 362.86 × 208.10
  4. Step 4: Simplify right side
    263.38x = 75,508.31
  5. Step 5: Solve for x
    x = 75,508.31/263.38
  6. Step 6: Final answer
    x = 286.70

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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.