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Finding the Fourth Proportional to 375.86, 563.81 and 213.86

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Solution

The fourth proportional to 375.86, 563.81 and 213.86 is: 320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 563.81 = 213.86 : x
  2. Step 2: Convert to fraction form
    375.86/563.81 = 213.86/x
  3. Step 3: Cross multiply
    375.86x = 563.81 × 213.86
  4. Step 4: Simplify right side
    375.86x = 120,576.41
  5. Step 5: Solve for x
    x = 120,576.41/375.86
  6. Step 6: Final answer
    x = 320.80

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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.