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Finding the Fourth Proportional to 291.97, 439.94 and 241.71

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Solution

The fourth proportional to 291.97, 439.94 and 241.71 is: 364.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.97 : 439.94 = 241.71 : x
  2. Step 2: Convert to fraction form
    291.97/439.94 = 241.71/x
  3. Step 3: Cross multiply
    291.97x = 439.94 × 241.71
  4. Step 4: Simplify right side
    291.97x = 106,337.90
  5. Step 5: Solve for x
    x = 106,337.90/291.97
  6. Step 6: Final answer
    x = 364.21

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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.