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Finding the Fourth Proportional to 213.97, 320.80 and 192.25

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Solution

The fourth proportional to 213.97, 320.80 and 192.25 is: 288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 320.80 = 192.25 : x
  2. Step 2: Convert to fraction form
    213.97/320.80 = 192.25/x
  3. Step 3: Cross multiply
    213.97x = 320.80 × 192.25
  4. Step 4: Simplify right side
    213.97x = 61,672.84
  5. Step 5: Solve for x
    x = 61,672.84/213.97
  6. Step 6: Final answer
    x = 288.23

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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.