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Finding the Fourth Proportional to 146.98, 203.03 and 119.69

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Solution

The fourth proportional to 146.98, 203.03 and 119.69 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 203.03 = 119.69 : x
  2. Step 2: Convert to fraction form
    146.98/203.03 = 119.69/x
  3. Step 3: Cross multiply
    146.98x = 203.03 × 119.69
  4. Step 4: Simplify right side
    146.98x = 24,300.26
  5. Step 5: Solve for x
    x = 24,300.26/146.98
  6. Step 6: Final answer
    x = 165.33

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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.