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Finding the Fourth Proportional to 146.55, 217.24 and 144.26

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Solution

The fourth proportional to 146.55, 217.24 and 144.26 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.55 : 217.24 = 144.26 : x
  2. Step 2: Convert to fraction form
    146.55/217.24 = 144.26/x
  3. Step 3: Cross multiply
    146.55x = 217.24 × 144.26
  4. Step 4: Simplify right side
    146.55x = 31,339.04
  5. Step 5: Solve for x
    x = 31,339.04/146.55
  6. Step 6: Final answer
    x = 213.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.