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Finding the Fourth Proportional to 408.42, 612.64 and 148.48

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Solution

The fourth proportional to 408.42, 612.64 and 148.48 is: 222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.42 : 612.64 = 148.48 : x
  2. Step 2: Convert to fraction form
    408.42/612.64 = 148.48/x
  3. Step 3: Cross multiply
    408.42x = 612.64 × 148.48
  4. Step 4: Simplify right side
    408.42x = 90,961.72
  5. Step 5: Solve for x
    x = 90,961.72/408.42
  6. Step 6: Final answer
    x = 222.72

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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.