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Finding the Fourth Proportional to 208.24, 286.95 and 171.66

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Solution

The fourth proportional to 208.24, 286.95 and 171.66 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 286.95 = 171.66 : x
  2. Step 2: Convert to fraction form
    208.24/286.95 = 171.66/x
  3. Step 3: Cross multiply
    208.24x = 286.95 × 171.66
  4. Step 4: Simplify right side
    208.24x = 49,257.84
  5. Step 5: Solve for x
    x = 49,257.84/208.24
  6. Step 6: Final answer
    x = 236.54

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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.