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Finding the Fourth Proportional to 146.73, 219.06 and 130.53

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Solution

The fourth proportional to 146.73, 219.06 and 130.53 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.73 : 219.06 = 130.53 : x
  2. Step 2: Convert to fraction form
    146.73/219.06 = 130.53/x
  3. Step 3: Cross multiply
    146.73x = 219.06 × 130.53
  4. Step 4: Simplify right side
    146.73x = 28,593.90
  5. Step 5: Solve for x
    x = 28,593.90/146.73
  6. Step 6: Final answer
    x = 194.87

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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.