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Finding the Fourth Proportional to 181.98, 273.24 and 170.64

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Solution

The fourth proportional to 181.98, 273.24 and 170.64 is: 256.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.98 : 273.24 = 170.64 : x
  2. Step 2: Convert to fraction form
    181.98/273.24 = 170.64/x
  3. Step 3: Cross multiply
    181.98x = 273.24 × 170.64
  4. Step 4: Simplify right side
    181.98x = 46,625.67
  5. Step 5: Solve for x
    x = 46,625.67/181.98
  6. Step 6: Final answer
    x = 256.21

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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.