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Finding the Fourth Proportional to 375.73, 563.73 and 213.73

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Solution

The fourth proportional to 375.73, 563.73 and 213.73 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.73 : 563.73 = 213.73 : x
  2. Step 2: Convert to fraction form
    375.73/563.73 = 213.73/x
  3. Step 3: Cross multiply
    375.73x = 563.73 × 213.73
  4. Step 4: Simplify right side
    375.73x = 120,486.01
  5. Step 5: Solve for x
    x = 120,486.01/375.73
  6. Step 6: Final answer
    x = 320.67

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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.