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Finding the Fourth Proportional to 376.76, 563.91 and 239.90

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Solution

The fourth proportional to 376.76, 563.91 and 239.90 is: 359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.76 : 563.91 = 239.90 : x
  2. Step 2: Convert to fraction form
    376.76/563.91 = 239.90/x
  3. Step 3: Cross multiply
    376.76x = 563.91 × 239.90
  4. Step 4: Simplify right side
    376.76x = 135,282.01
  5. Step 5: Solve for x
    x = 135,282.01/376.76
  6. Step 6: Final answer
    x = 359.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.