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Finding the Fourth Proportional to 147.25, 203.19 and 98.15

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Solution

The fourth proportional to 147.25, 203.19 and 98.15 is: 135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.25 : 203.19 = 98.15 : x
  2. Step 2: Convert to fraction form
    147.25/203.19 = 98.15/x
  3. Step 3: Cross multiply
    147.25x = 203.19 × 98.15
  4. Step 4: Simplify right side
    147.25x = 19,942.27
  5. Step 5: Solve for x
    x = 19,942.27/147.25
  6. Step 6: Final answer
    x = 135.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.