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Finding the Fourth Proportional to 320.14, 441.38 and 241.54

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Solution

The fourth proportional to 320.14, 441.38 and 241.54 is: 333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 441.38 = 241.54 : x
  2. Step 2: Convert to fraction form
    320.14/441.38 = 241.54/x
  3. Step 3: Cross multiply
    320.14x = 441.38 × 241.54
  4. Step 4: Simplify right side
    320.14x = 106,610.93
  5. Step 5: Solve for x
    x = 106,610.93/320.14
  6. Step 6: Final answer
    x = 333.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.