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Finding the Fourth Proportional to 213.87, 320.67 and 192.27

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Solution

The fourth proportional to 213.87, 320.67 and 192.27 is: 288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.87 : 320.67 = 192.27 : x
  2. Step 2: Convert to fraction form
    213.87/320.67 = 192.27/x
  3. Step 3: Cross multiply
    213.87x = 320.67 × 192.27
  4. Step 4: Simplify right side
    213.87x = 61,655.22
  5. Step 5: Solve for x
    x = 61,655.22/213.87
  6. Step 6: Final answer
    x = 288.28

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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.