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Finding the Fourth Proportional to 140.49, 193.62 and 117.03

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Solution

The fourth proportional to 140.49, 193.62 and 117.03 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.49 : 193.62 = 117.03 : x
  2. Step 2: Convert to fraction form
    140.49/193.62 = 117.03/x
  3. Step 3: Cross multiply
    140.49x = 193.62 × 117.03
  4. Step 4: Simplify right side
    140.49x = 22,659.35
  5. Step 5: Solve for x
    x = 22,659.35/140.49
  6. Step 6: Final answer
    x = 161.29

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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.