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Finding the Fourth Proportional to 181.30, 272.97 and 159.77

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Solution

The fourth proportional to 181.30, 272.97 and 159.77 is: 240.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.30 : 272.97 = 159.77 : x
  2. Step 2: Convert to fraction form
    181.30/272.97 = 159.77/x
  3. Step 3: Cross multiply
    181.30x = 272.97 × 159.77
  4. Step 4: Simplify right side
    181.30x = 43,613.16
  5. Step 5: Solve for x
    x = 43,613.16/181.30
  6. Step 6: Final answer
    x = 240.55

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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.