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Finding the Fourth Proportional to 146.76, 203.61 and 141.48

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Solution

The fourth proportional to 146.76, 203.61 and 141.48 is: 196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.76 : 203.61 = 141.48 : x
  2. Step 2: Convert to fraction form
    146.76/203.61 = 141.48/x
  3. Step 3: Cross multiply
    146.76x = 203.61 × 141.48
  4. Step 4: Simplify right side
    146.76x = 28,806.74
  5. Step 5: Solve for x
    x = 28,806.74/146.76
  6. Step 6: Final answer
    x = 196.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.