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Finding the Fourth Proportional to 412.84, 618.10 and 220.04

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Solution

The fourth proportional to 412.84, 618.10 and 220.04 is: 329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 618.10 = 220.04 : x
  2. Step 2: Convert to fraction form
    412.84/618.10 = 220.04/x
  3. Step 3: Cross multiply
    412.84x = 618.10 × 220.04
  4. Step 4: Simplify right side
    412.84x = 136,006.72
  5. Step 5: Solve for x
    x = 136,006.72/412.84
  6. Step 6: Final answer
    x = 329.44

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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.