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Finding the Fourth Proportional to 223.43, 307.44 and 192.21

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Solution

The fourth proportional to 223.43, 307.44 and 192.21 is: 264.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.43 : 307.44 = 192.21 : x
  2. Step 2: Convert to fraction form
    223.43/307.44 = 192.21/x
  3. Step 3: Cross multiply
    223.43x = 307.44 × 192.21
  4. Step 4: Simplify right side
    223.43x = 59,093.04
  5. Step 5: Solve for x
    x = 59,093.04/223.43
  6. Step 6: Final answer
    x = 264.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.