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Finding the Fourth Proportional to 208.13, 286.41 and 192.64

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Solution

The fourth proportional to 208.13, 286.41 and 192.64 is: 265.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 286.41 = 192.64 : x
  2. Step 2: Convert to fraction form
    208.13/286.41 = 192.64/x
  3. Step 3: Cross multiply
    208.13x = 286.41 × 192.64
  4. Step 4: Simplify right side
    208.13x = 55,174.02
  5. Step 5: Solve for x
    x = 55,174.02/208.13
  6. Step 6: Final answer
    x = 265.09

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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.