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Finding the Fourth Proportional to 208.16, 286.72 and 166.68

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Solution

The fourth proportional to 208.16, 286.72 and 166.68 is: 229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 286.72 = 166.68 : x
  2. Step 2: Convert to fraction form
    208.16/286.72 = 166.68/x
  3. Step 3: Cross multiply
    208.16x = 286.72 × 166.68
  4. Step 4: Simplify right side
    208.16x = 47,790.49
  5. Step 5: Solve for x
    x = 47,790.49/208.16
  6. Step 6: Final answer
    x = 229.59

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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.