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Finding the Fourth Proportional to 263.81, 394.90 and 206.20

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Solution

The fourth proportional to 263.81, 394.90 and 206.20 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 394.90 = 206.20 : x
  2. Step 2: Convert to fraction form
    263.81/394.90 = 206.20/x
  3. Step 3: Cross multiply
    263.81x = 394.90 × 206.20
  4. Step 4: Simplify right side
    263.81x = 81,428.38
  5. Step 5: Solve for x
    x = 81,428.38/263.81
  6. Step 6: Final answer
    x = 308.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.