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Finding the Fourth Proportional to 146.74, 219 and 128.48

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Solution

The fourth proportional to 146.74, 219 and 128.48 is: 191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.74 : 219 = 128.48 : x
  2. Step 2: Convert to fraction form
    146.74/219 = 128.48/x
  3. Step 3: Cross multiply
    146.74x = 219 × 128.48
  4. Step 4: Simplify right side
    146.74x = 28,137.12
  5. Step 5: Solve for x
    x = 28,137.12/146.74
  6. Step 6: Final answer
    x = 191.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.