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Finding the Fourth Proportional to 208.24, 286.99 and 181.71

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Solution

The fourth proportional to 208.24, 286.99 and 181.71 is: 250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 286.99 = 181.71 : x
  2. Step 2: Convert to fraction form
    208.24/286.99 = 181.71/x
  3. Step 3: Cross multiply
    208.24x = 286.99 × 181.71
  4. Step 4: Simplify right side
    208.24x = 52,148.50
  5. Step 5: Solve for x
    x = 52,148.50/208.24
  6. Step 6: Final answer
    x = 250.43

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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.