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Finding the Fourth Proportional to 376.24, 563.88 and 193.18

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Solution

The fourth proportional to 376.24, 563.88 and 193.18 is: 289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.24 : 563.88 = 193.18 : x
  2. Step 2: Convert to fraction form
    376.24/563.88 = 193.18/x
  3. Step 3: Cross multiply
    376.24x = 563.88 × 193.18
  4. Step 4: Simplify right side
    376.24x = 108,930.34
  5. Step 5: Solve for x
    x = 108,930.34/376.24
  6. Step 6: Final answer
    x = 289.52

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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.