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Finding the Fourth Proportional to 274.36, 411.93 and 261.14

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Solution

The fourth proportional to 274.36, 411.93 and 261.14 is: 392.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.36 : 411.93 = 261.14 : x
  2. Step 2: Convert to fraction form
    274.36/411.93 = 261.14/x
  3. Step 3: Cross multiply
    274.36x = 411.93 × 261.14
  4. Step 4: Simplify right side
    274.36x = 107,571.40
  5. Step 5: Solve for x
    x = 107,571.40/274.36
  6. Step 6: Final answer
    x = 392.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.