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Finding the Fourth Proportional to 181.82, 272.32 and 138.28

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Solution

The fourth proportional to 181.82, 272.32 and 138.28 is: 207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.82 : 272.32 = 138.28 : x
  2. Step 2: Convert to fraction form
    181.82/272.32 = 138.28/x
  3. Step 3: Cross multiply
    181.82x = 272.32 × 138.28
  4. Step 4: Simplify right side
    181.82x = 37,656.41
  5. Step 5: Solve for x
    x = 37,656.41/181.82
  6. Step 6: Final answer
    x = 207.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.