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Finding the Fourth Proportional to 274.19, 412.83 and 241.90

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Solution

The fourth proportional to 274.19, 412.83 and 241.90 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 412.83 = 241.90 : x
  2. Step 2: Convert to fraction form
    274.19/412.83 = 241.90/x
  3. Step 3: Cross multiply
    274.19x = 412.83 × 241.90
  4. Step 4: Simplify right side
    274.19x = 99,862.54
  5. Step 5: Solve for x
    x = 99,862.54/274.19
  6. Step 6: Final answer
    x = 364.22

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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.