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Finding the Fourth Proportional to 146.98, 219.22 and 144.55

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Solution

The fourth proportional to 146.98, 219.22 and 144.55 is: 215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 219.22 = 144.55 : x
  2. Step 2: Convert to fraction form
    146.98/219.22 = 144.55/x
  3. Step 3: Cross multiply
    146.98x = 219.22 × 144.55
  4. Step 4: Simplify right side
    146.98x = 31,688.25
  5. Step 5: Solve for x
    x = 31,688.25/146.98
  6. Step 6: Final answer
    x = 215.60

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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.