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Finding the Fourth Proportional to 147.82, 204.38 and 141.25

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Solution

The fourth proportional to 147.82, 204.38 and 141.25 is: 195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.82 : 204.38 = 141.25 : x
  2. Step 2: Convert to fraction form
    147.82/204.38 = 141.25/x
  3. Step 3: Cross multiply
    147.82x = 204.38 × 141.25
  4. Step 4: Simplify right side
    147.82x = 28,868.68
  5. Step 5: Solve for x
    x = 28,868.68/147.82
  6. Step 6: Final answer
    x = 195.30

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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.