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Finding the Fourth Proportional to 611.33, 916.81 and 221.28

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Solution

The fourth proportional to 611.33, 916.81 and 221.28 is: 331.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.33 : 916.81 = 221.28 : x
  2. Step 2: Convert to fraction form
    611.33/916.81 = 221.28/x
  3. Step 3: Cross multiply
    611.33x = 916.81 × 221.28
  4. Step 4: Simplify right side
    611.33x = 202,871.72
  5. Step 5: Solve for x
    x = 202,871.72/611.33
  6. Step 6: Final answer
    x = 331.85

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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.