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Finding the Fourth Proportional to 181.25, 270.14 and 170.99

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Solution

The fourth proportional to 181.25, 270.14 and 170.99 is: 254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.25 : 270.14 = 170.99 : x
  2. Step 2: Convert to fraction form
    181.25/270.14 = 170.99/x
  3. Step 3: Cross multiply
    181.25x = 270.14 × 170.99
  4. Step 4: Simplify right side
    181.25x = 46,192.34
  5. Step 5: Solve for x
    x = 46,192.34/181.25
  6. Step 6: Final answer
    x = 254.86

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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.