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Finding the Fourth Proportional to 146, 219 and 67.94

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Solution

The fourth proportional to 146, 219 and 67.94 is: 101.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 219 = 67.94 : x
  2. Step 2: Convert to fraction form
    146/219 = 67.94/x
  3. Step 3: Cross multiply
    146x = 219 × 67.94
  4. Step 4: Simplify right side
    146x = 14,878.86
  5. Step 5: Solve for x
    x = 14,878.86/146
  6. Step 6: Final answer
    x = 101.91

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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.