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Finding the Fourth Proportional to 376.79, 519.96 and 208.75

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Solution

The fourth proportional to 376.79, 519.96 and 208.75 is: 288.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.79 : 519.96 = 208.75 : x
  2. Step 2: Convert to fraction form
    376.79/519.96 = 208.75/x
  3. Step 3: Cross multiply
    376.79x = 519.96 × 208.75
  4. Step 4: Simplify right side
    376.79x = 108,541.78
  5. Step 5: Solve for x
    x = 108,541.78/376.79
  6. Step 6: Final answer
    x = 288.07

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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.