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Finding the Fourth Proportional to 375.78, 563.76 and 159.42

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Solution

The fourth proportional to 375.78, 563.76 and 159.42 is: 239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 563.76 = 159.42 : x
  2. Step 2: Convert to fraction form
    375.78/563.76 = 159.42/x
  3. Step 3: Cross multiply
    375.78x = 563.76 × 159.42
  4. Step 4: Simplify right side
    375.78x = 89,874.62
  5. Step 5: Solve for x
    x = 89,874.62/375.78
  6. Step 6: Final answer
    x = 239.17

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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.