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Finding the Fourth Proportional to 181.20, 270.15 and 164.10

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Solution

The fourth proportional to 181.20, 270.15 and 164.10 is: 244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.20 : 270.15 = 164.10 : x
  2. Step 2: Convert to fraction form
    181.20/270.15 = 164.10/x
  3. Step 3: Cross multiply
    181.20x = 270.15 × 164.10
  4. Step 4: Simplify right side
    181.20x = 44,331.62
  5. Step 5: Solve for x
    x = 44,331.62/181.20
  6. Step 6: Final answer
    x = 244.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.