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Finding the Fourth Proportional to 241.72, 363.91 and 178.12

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Solution

The fourth proportional to 241.72, 363.91 and 178.12 is: 268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.72 : 363.91 = 178.12 : x
  2. Step 2: Convert to fraction form
    241.72/363.91 = 178.12/x
  3. Step 3: Cross multiply
    241.72x = 363.91 × 178.12
  4. Step 4: Simplify right side
    241.72x = 64,819.65
  5. Step 5: Solve for x
    x = 64,819.65/241.72
  6. Step 6: Final answer
    x = 268.16

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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.