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Finding the Fourth Proportional to 375.78, 563.75 and 159.35

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Solution

The fourth proportional to 375.78, 563.75 and 159.35 is: 239.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.78 : 563.75 = 159.35 : x
  2. Step 2: Convert to fraction form
    375.78/563.75 = 159.35/x
  3. Step 3: Cross multiply
    375.78x = 563.75 × 159.35
  4. Step 4: Simplify right side
    375.78x = 89,829.95
  5. Step 5: Solve for x
    x = 89,829.95/375.78
  6. Step 6: Final answer
    x = 239.05

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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.