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Finding the Fourth Proportional to 412.22, 618.64 and 308.36

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Solution

The fourth proportional to 412.22, 618.64 and 308.36 is: 462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 618.64 = 308.36 : x
  2. Step 2: Convert to fraction form
    412.22/618.64 = 308.36/x
  3. Step 3: Cross multiply
    412.22x = 618.64 × 308.36
  4. Step 4: Simplify right side
    412.22x = 190,763.83
  5. Step 5: Solve for x
    x = 190,763.83/412.22
  6. Step 6: Final answer
    x = 462.77

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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.