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Finding the Fourth Proportional to 207.61, 286.30 and 137.55

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Solution

The fourth proportional to 207.61, 286.30 and 137.55 is: 189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.61 : 286.30 = 137.55 : x
  2. Step 2: Convert to fraction form
    207.61/286.30 = 137.55/x
  3. Step 3: Cross multiply
    207.61x = 286.30 × 137.55
  4. Step 4: Simplify right side
    207.61x = 39,380.57
  5. Step 5: Solve for x
    x = 39,380.57/207.61
  6. Step 6: Final answer
    x = 189.69

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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.