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Finding the Fourth Proportional to 181.01, 270.24 and 153.68

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Solution

The fourth proportional to 181.01, 270.24 and 153.68 is: 229.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.01 : 270.24 = 153.68 : x
  2. Step 2: Convert to fraction form
    181.01/270.24 = 153.68/x
  3. Step 3: Cross multiply
    181.01x = 270.24 × 153.68
  4. Step 4: Simplify right side
    181.01x = 41,529.71
  5. Step 5: Solve for x
    x = 41,529.71/181.01
  6. Step 6: Final answer
    x = 229.43

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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.