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Finding the Fourth Proportional to 131.92, 181.90 and 107.31

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Solution

The fourth proportional to 131.92, 181.90 and 107.31 is: 147.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.92 : 181.90 = 107.31 : x
  2. Step 2: Convert to fraction form
    131.92/181.90 = 107.31/x
  3. Step 3: Cross multiply
    131.92x = 181.90 × 107.31
  4. Step 4: Simplify right side
    131.92x = 19,519.42
  5. Step 5: Solve for x
    x = 19,519.42/131.92
  6. Step 6: Final answer
    x = 147.97

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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.