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Finding the Fourth Proportional to 412.88, 618.48 and 195.80

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Solution

The fourth proportional to 412.88, 618.48 and 195.80 is: 293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.88 : 618.48 = 195.80 : x
  2. Step 2: Convert to fraction form
    412.88/618.48 = 195.80/x
  3. Step 3: Cross multiply
    412.88x = 618.48 × 195.80
  4. Step 4: Simplify right side
    412.88x = 121,098.38
  5. Step 5: Solve for x
    x = 121,098.38/412.88
  6. Step 6: Final answer
    x = 293.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.