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Finding the Fourth Proportional to 408.18, 610.38 and 285.60

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Solution

The fourth proportional to 408.18, 610.38 and 285.60 is: 427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.18 : 610.38 = 285.60 : x
  2. Step 2: Convert to fraction form
    408.18/610.38 = 285.60/x
  3. Step 3: Cross multiply
    408.18x = 610.38 × 285.60
  4. Step 4: Simplify right side
    408.18x = 174,324.53
  5. Step 5: Solve for x
    x = 174,324.53/408.18
  6. Step 6: Final answer
    x = 427.08

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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.