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Finding the Fourth Proportional to 376.68, 519.51 and 288.29

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Solution

The fourth proportional to 376.68, 519.51 and 288.29 is: 397.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.68 : 519.51 = 288.29 : x
  2. Step 2: Convert to fraction form
    376.68/519.51 = 288.29/x
  3. Step 3: Cross multiply
    376.68x = 519.51 × 288.29
  4. Step 4: Simplify right side
    376.68x = 149,771.92
  5. Step 5: Solve for x
    x = 149,771.92/376.68
  6. Step 6: Final answer
    x = 397.61

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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.