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Finding the Fourth Proportional to 320, 441.36 and 221.92

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Solution

The fourth proportional to 320, 441.36 and 221.92 is: 306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 441.36 = 221.92 : x
  2. Step 2: Convert to fraction form
    320/441.36 = 221.92/x
  3. Step 3: Cross multiply
    320x = 441.36 × 221.92
  4. Step 4: Simplify right side
    320x = 97,946.61
  5. Step 5: Solve for x
    x = 97,946.61/320
  6. Step 6: Final answer
    x = 306.08

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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.