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Finding the Fourth Proportional to 408.08, 611.75 and 148.02

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Solution

The fourth proportional to 408.08, 611.75 and 148.02 is: 221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.08 : 611.75 = 148.02 : x
  2. Step 2: Convert to fraction form
    408.08/611.75 = 148.02/x
  3. Step 3: Cross multiply
    408.08x = 611.75 × 148.02
  4. Step 4: Simplify right side
    408.08x = 90,551.24
  5. Step 5: Solve for x
    x = 90,551.24/408.08
  6. Step 6: Final answer
    x = 221.90

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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.