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Finding the Fourth Proportional to 181.62, 272.16 and 138.24

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Solution

The fourth proportional to 181.62, 272.16 and 138.24 is: 207.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.62 : 272.16 = 138.24 : x
  2. Step 2: Convert to fraction form
    181.62/272.16 = 138.24/x
  3. Step 3: Cross multiply
    181.62x = 272.16 × 138.24
  4. Step 4: Simplify right side
    181.62x = 37,623.40
  5. Step 5: Solve for x
    x = 37,623.40/181.62
  6. Step 6: Final answer
    x = 207.15

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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.