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Finding the Fourth Proportional to 375.36, 563.40 and 213.18

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Solution

The fourth proportional to 375.36, 563.40 and 213.18 is: 319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.36 : 563.40 = 213.18 : x
  2. Step 2: Convert to fraction form
    375.36/563.40 = 213.18/x
  3. Step 3: Cross multiply
    375.36x = 563.40 × 213.18
  4. Step 4: Simplify right side
    375.36x = 120,105.61
  5. Step 5: Solve for x
    x = 120,105.61/375.36
  6. Step 6: Final answer
    x = 319.97

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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.