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Finding the Fourth Proportional to 207.38, 286.21 and 137.59

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Solution

The fourth proportional to 207.38, 286.21 and 137.59 is: 189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 286.21 = 137.59 : x
  2. Step 2: Convert to fraction form
    207.38/286.21 = 137.59/x
  3. Step 3: Cross multiply
    207.38x = 286.21 × 137.59
  4. Step 4: Simplify right side
    207.38x = 39,379.63
  5. Step 5: Solve for x
    x = 39,379.63/207.38
  6. Step 6: Final answer
    x = 189.89

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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.