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Finding the Fourth Proportional to 376.81, 520.19 and 260.17

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Solution

The fourth proportional to 376.81, 520.19 and 260.17 is: 359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.81 : 520.19 = 260.17 : x
  2. Step 2: Convert to fraction form
    376.81/520.19 = 260.17/x
  3. Step 3: Cross multiply
    376.81x = 520.19 × 260.17
  4. Step 4: Simplify right side
    376.81x = 135,336.21
  5. Step 5: Solve for x
    x = 135,336.21/376.81
  6. Step 6: Final answer
    x = 359.17

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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.