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Finding the Fourth Proportional to 376.90, 520.41 and 260.80

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Solution

The fourth proportional to 376.90, 520.41 and 260.80 is: 360.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.90 : 520.41 = 260.80 : x
  2. Step 2: Convert to fraction form
    376.90/520.41 = 260.80/x
  3. Step 3: Cross multiply
    376.90x = 520.41 × 260.80
  4. Step 4: Simplify right side
    376.90x = 135,722.93
  5. Step 5: Solve for x
    x = 135,722.93/376.90
  6. Step 6: Final answer
    x = 360.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.