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Finding the Fourth Proportional to 146.94, 217.86 and 143.70

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Solution

The fourth proportional to 146.94, 217.86 and 143.70 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.94 : 217.86 = 143.70 : x
  2. Step 2: Convert to fraction form
    146.94/217.86 = 143.70/x
  3. Step 3: Cross multiply
    146.94x = 217.86 × 143.70
  4. Step 4: Simplify right side
    146.94x = 31,306.48
  5. Step 5: Solve for x
    x = 31,306.48/146.94
  6. Step 6: Final answer
    x = 213.06

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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.