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Finding the Fourth Proportional to 408.46, 612.75 and 148.48

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Solution

The fourth proportional to 408.46, 612.75 and 148.48 is: 222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.46 : 612.75 = 148.48 : x
  2. Step 2: Convert to fraction form
    408.46/612.75 = 148.48/x
  3. Step 3: Cross multiply
    408.46x = 612.75 × 148.48
  4. Step 4: Simplify right side
    408.46x = 90,981.12
  5. Step 5: Solve for x
    x = 90,981.12/408.46
  6. Step 6: Final answer
    x = 222.74

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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.