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Finding the Fourth Proportional to 146.26, 216.94 and 144.10

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Solution

The fourth proportional to 146.26, 216.94 and 144.10 is: 213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.26 : 216.94 = 144.10 : x
  2. Step 2: Convert to fraction form
    146.26/216.94 = 144.10/x
  3. Step 3: Cross multiply
    146.26x = 216.94 × 144.10
  4. Step 4: Simplify right side
    146.26x = 31,261.05
  5. Step 5: Solve for x
    x = 31,261.05/146.26
  6. Step 6: Final answer
    x = 213.74

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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.