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Finding the Fourth Proportional to 610.80, 916.16 and 220.64

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Solution

The fourth proportional to 610.80, 916.16 and 220.64 is: 330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.80 : 916.16 = 220.64 : x
  2. Step 2: Convert to fraction form
    610.80/916.16 = 220.64/x
  3. Step 3: Cross multiply
    610.80x = 916.16 × 220.64
  4. Step 4: Simplify right side
    610.80x = 202,141.54
  5. Step 5: Solve for x
    x = 202,141.54/610.80
  6. Step 6: Final answer
    x = 330.95

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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.