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Finding the Fourth Proportional to 376.18, 563.90 and 119.50

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Solution

The fourth proportional to 376.18, 563.90 and 119.50 is: 179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.18 : 563.90 = 119.50 : x
  2. Step 2: Convert to fraction form
    376.18/563.90 = 119.50/x
  3. Step 3: Cross multiply
    376.18x = 563.90 × 119.50
  4. Step 4: Simplify right side
    376.18x = 67,386.05
  5. Step 5: Solve for x
    x = 67,386.05/376.18
  6. Step 6: Final answer
    x = 179.13

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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.