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Finding the Fourth Proportional to 207.47, 286.42 and 137.62

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Solution

The fourth proportional to 207.47, 286.42 and 137.62 is: 189.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.47 : 286.42 = 137.62 : x
  2. Step 2: Convert to fraction form
    207.47/286.42 = 137.62/x
  3. Step 3: Cross multiply
    207.47x = 286.42 × 137.62
  4. Step 4: Simplify right side
    207.47x = 39,416.98
  5. Step 5: Solve for x
    x = 39,416.98/207.47
  6. Step 6: Final answer
    x = 189.99

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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.