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Finding the Fourth Proportional to 207.36, 286.26 and 136.50

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Solution

The fourth proportional to 207.36, 286.26 and 136.50 is: 188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.36 : 286.26 = 136.50 : x
  2. Step 2: Convert to fraction form
    207.36/286.26 = 136.50/x
  3. Step 3: Cross multiply
    207.36x = 286.26 × 136.50
  4. Step 4: Simplify right side
    207.36x = 39,074.49
  5. Step 5: Solve for x
    x = 39,074.49/207.36
  6. Step 6: Final answer
    x = 188.44

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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.