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Finding the Fourth Proportional to 208.43, 286.48 and 183.72

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Solution

The fourth proportional to 208.43, 286.48 and 183.72 is: 252.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.43 : 286.48 = 183.72 : x
  2. Step 2: Convert to fraction form
    208.43/286.48 = 183.72/x
  3. Step 3: Cross multiply
    208.43x = 286.48 × 183.72
  4. Step 4: Simplify right side
    208.43x = 52,631.65
  5. Step 5: Solve for x
    x = 52,631.65/208.43
  6. Step 6: Final answer
    x = 252.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.