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Finding the Fourth Proportional to 138.10, 191.45 and 131.08

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Solution

The fourth proportional to 138.10, 191.45 and 131.08 is: 181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.10 : 191.45 = 131.08 : x
  2. Step 2: Convert to fraction form
    138.10/191.45 = 131.08/x
  3. Step 3: Cross multiply
    138.10x = 191.45 × 131.08
  4. Step 4: Simplify right side
    138.10x = 25,095.27
  5. Step 5: Solve for x
    x = 25,095.27/138.10
  6. Step 6: Final answer
    x = 181.72

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.