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Finding the Fourth Proportional to 274.86, 409.76 and 261.90

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Solution

The fourth proportional to 274.86, 409.76 and 261.90 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 409.76 = 261.90 : x
  2. Step 2: Convert to fraction form
    274.86/409.76 = 261.90/x
  3. Step 3: Cross multiply
    274.86x = 409.76 × 261.90
  4. Step 4: Simplify right side
    274.86x = 107,314.83
  5. Step 5: Solve for x
    x = 107,314.83/274.86
  6. Step 6: Final answer
    x = 390.43

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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.