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Finding the Fourth Proportional to 181.98, 270.72 and 180.27

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Solution

The fourth proportional to 181.98, 270.72 and 180.27 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 270.72 = 180.27 : x
  2. Step 2: Convert to fraction form
    181.98/270.72 = 180.27/x
  3. Step 3: Cross multiply
    181.98x = 270.72 × 180.27
  4. Step 4: Simplify right side
    181.98x = 48,802.69
  5. Step 5: Solve for x
    x = 48,802.69/181.98
  6. Step 6: Final answer
    x = 268.18

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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.