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Finding the Fourth Proportional to 181.07, 270.24 and 153.63

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Solution

The fourth proportional to 181.07, 270.24 and 153.63 is: 229.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.07 : 270.24 = 153.63 : x
  2. Step 2: Convert to fraction form
    181.07/270.24 = 153.63/x
  3. Step 3: Cross multiply
    181.07x = 270.24 × 153.63
  4. Step 4: Simplify right side
    181.07x = 41,516.97
  5. Step 5: Solve for x
    x = 41,516.97/181.07
  6. Step 6: Final answer
    x = 229.29

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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.