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Finding the Fourth Proportional to 146.90, 219.91 and 108.55

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Solution

The fourth proportional to 146.90, 219.91 and 108.55 is: 162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 219.91 = 108.55 : x
  2. Step 2: Convert to fraction form
    146.90/219.91 = 108.55/x
  3. Step 3: Cross multiply
    146.90x = 219.91 × 108.55
  4. Step 4: Simplify right side
    146.90x = 23,871.43
  5. Step 5: Solve for x
    x = 23,871.43/146.90
  6. Step 6: Final answer
    x = 162.50

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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.