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Finding the Fourth Proportional to 412.17, 618.34 and 220.01

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Solution

The fourth proportional to 412.17, 618.34 and 220.01 is: 330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.17 : 618.34 = 220.01 : x
  2. Step 2: Convert to fraction form
    412.17/618.34 = 220.01/x
  3. Step 3: Cross multiply
    412.17x = 618.34 × 220.01
  4. Step 4: Simplify right side
    412.17x = 136,039.88
  5. Step 5: Solve for x
    x = 136,039.88/412.17
  6. Step 6: Final answer
    x = 330.06

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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.