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Finding the Fourth Proportional to 181.71, 273.65 and 160.25

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Solution

The fourth proportional to 181.71, 273.65 and 160.25 is: 241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.71 : 273.65 = 160.25 : x
  2. Step 2: Convert to fraction form
    181.71/273.65 = 160.25/x
  3. Step 3: Cross multiply
    181.71x = 273.65 × 160.25
  4. Step 4: Simplify right side
    181.71x = 43,850.24
  5. Step 5: Solve for x
    x = 43,850.24/181.71
  6. Step 6: Final answer
    x = 241.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.