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Finding the Fourth Proportional to 181.14, 270.99 and 155.52

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Solution

The fourth proportional to 181.14, 270.99 and 155.52 is: 232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.14 : 270.99 = 155.52 : x
  2. Step 2: Convert to fraction form
    181.14/270.99 = 155.52/x
  3. Step 3: Cross multiply
    181.14x = 270.99 × 155.52
  4. Step 4: Simplify right side
    181.14x = 42,144.36
  5. Step 5: Solve for x
    x = 42,144.36/181.14
  6. Step 6: Final answer
    x = 232.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.