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Finding the Fourth Proportional to 181.46, 270.75 and 177.31

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Solution

The fourth proportional to 181.46, 270.75 and 177.31 is: 264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.46 : 270.75 = 177.31 : x
  2. Step 2: Convert to fraction form
    181.46/270.75 = 177.31/x
  3. Step 3: Cross multiply
    181.46x = 270.75 × 177.31
  4. Step 4: Simplify right side
    181.46x = 48,007.69
  5. Step 5: Solve for x
    x = 48,007.69/181.46
  6. Step 6: Final answer
    x = 264.56

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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.