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Finding the Fourth Proportional to 241.79, 360.25 and 227.81

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Solution

The fourth proportional to 241.79, 360.25 and 227.81 is: 339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.79 : 360.25 = 227.81 : x
  2. Step 2: Convert to fraction form
    241.79/360.25 = 227.81/x
  3. Step 3: Cross multiply
    241.79x = 360.25 × 227.81
  4. Step 4: Simplify right side
    241.79x = 82,068.88
  5. Step 5: Solve for x
    x = 82,068.88/241.79
  6. Step 6: Final answer
    x = 339.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.