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Finding the Fourth Proportional to 547.92, 821.91 and 223.28

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Solution

The fourth proportional to 547.92, 821.91 and 223.28 is: 334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 821.91 = 223.28 : x
  2. Step 2: Convert to fraction form
    547.92/821.91 = 223.28/x
  3. Step 3: Cross multiply
    547.92x = 821.91 × 223.28
  4. Step 4: Simplify right side
    547.92x = 183,516.06
  5. Step 5: Solve for x
    x = 183,516.06/547.92
  6. Step 6: Final answer
    x = 334.93

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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.