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Finding the Fourth Proportional to 376.52, 519.15 and 356

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Solution

The fourth proportional to 376.52, 519.15 and 356 is: 490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.52 : 519.15 = 356 : x
  2. Step 2: Convert to fraction form
    376.52/519.15 = 356/x
  3. Step 3: Cross multiply
    376.52x = 519.15 × 356
  4. Step 4: Simplify right side
    376.52x = 184,817.40
  5. Step 5: Solve for x
    x = 184,817.40/376.52
  6. Step 6: Final answer
    x = 490.86

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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.