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Finding the Fourth Proportional to 181.39, 270.06 and 180.47

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Solution

The fourth proportional to 181.39, 270.06 and 180.47 is: 268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.39 : 270.06 = 180.47 : x
  2. Step 2: Convert to fraction form
    181.39/270.06 = 180.47/x
  3. Step 3: Cross multiply
    181.39x = 270.06 × 180.47
  4. Step 4: Simplify right side
    181.39x = 48,736.83
  5. Step 5: Solve for x
    x = 48,736.83/181.39
  6. Step 6: Final answer
    x = 268.69

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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.