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Finding the Fourth Proportional to 147.73, 220.50 and 130.43

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Solution

The fourth proportional to 147.73, 220.50 and 130.43 is: 194.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.73 : 220.50 = 130.43 : x
  2. Step 2: Convert to fraction form
    147.73/220.50 = 130.43/x
  3. Step 3: Cross multiply
    147.73x = 220.50 × 130.43
  4. Step 4: Simplify right side
    147.73x = 28,759.82
  5. Step 5: Solve for x
    x = 28,759.82/147.73
  6. Step 6: Final answer
    x = 194.68

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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.