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Finding the Fourth Proportional to 376.66, 519.42 and 252.46

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Solution

The fourth proportional to 376.66, 519.42 and 252.46 is: 348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.66 : 519.42 = 252.46 : x
  2. Step 2: Convert to fraction form
    376.66/519.42 = 252.46/x
  3. Step 3: Cross multiply
    376.66x = 519.42 × 252.46
  4. Step 4: Simplify right side
    376.66x = 131,132.77
  5. Step 5: Solve for x
    x = 131,132.77/376.66
  6. Step 6: Final answer
    x = 348.15

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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.