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Finding the Fourth Proportional to 181.56, 270.78 and 174.24

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Solution

The fourth proportional to 181.56, 270.78 and 174.24 is: 259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.56 : 270.78 = 174.24 : x
  2. Step 2: Convert to fraction form
    181.56/270.78 = 174.24/x
  3. Step 3: Cross multiply
    181.56x = 270.78 × 174.24
  4. Step 4: Simplify right side
    181.56x = 47,180.71
  5. Step 5: Solve for x
    x = 47,180.71/181.56
  6. Step 6: Final answer
    x = 259.86

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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.