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Finding the Fourth Proportional to 412.26, 618.16 and 217.06

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Solution

The fourth proportional to 412.26, 618.16 and 217.06 is: 325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 618.16 = 217.06 : x
  2. Step 2: Convert to fraction form
    412.26/618.16 = 217.06/x
  3. Step 3: Cross multiply
    412.26x = 618.16 × 217.06
  4. Step 4: Simplify right side
    412.26x = 134,175.72
  5. Step 5: Solve for x
    x = 134,175.72/412.26
  6. Step 6: Final answer
    x = 325.46

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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.