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Finding the Fourth Proportional to 207.38, 286.23 and 172.32

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Solution

The fourth proportional to 207.38, 286.23 and 172.32 is: 237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.38 : 286.23 = 172.32 : x
  2. Step 2: Convert to fraction form
    207.38/286.23 = 172.32/x
  3. Step 3: Cross multiply
    207.38x = 286.23 × 172.32
  4. Step 4: Simplify right side
    207.38x = 49,322.73
  5. Step 5: Solve for x
    x = 49,322.73/207.38
  6. Step 6: Final answer
    x = 237.83

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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.