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Finding the Fourth Proportional to 375.86, 563.88 and 132.39

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Solution

The fourth proportional to 375.86, 563.88 and 132.39 is: 198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 563.88 = 132.39 : x
  2. Step 2: Convert to fraction form
    375.86/563.88 = 132.39/x
  3. Step 3: Cross multiply
    375.86x = 563.88 × 132.39
  4. Step 4: Simplify right side
    375.86x = 74,652.07
  5. Step 5: Solve for x
    x = 74,652.07/375.86
  6. Step 6: Final answer
    x = 198.62

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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.