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Finding the Fourth Proportional to 181.00, 269.77 and 170.75

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Solution

The fourth proportional to 181.00, 269.77 and 170.75 is: 254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.00 : 269.77 = 170.75 : x
  2. Step 2: Convert to fraction form
    181.00/269.77 = 170.75/x
  3. Step 3: Cross multiply
    181.00x = 269.77 × 170.75
  4. Step 4: Simplify right side
    181.00x = 46,061.88
  5. Step 5: Solve for x
    x = 46,061.88/181.00
  6. Step 6: Final answer
    x = 254.49

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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.