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Finding the Fourth Proportional to 243.13, 335.54 and 138.22

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Solution

The fourth proportional to 243.13, 335.54 and 138.22 is: 190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.13 : 335.54 = 138.22 : x
  2. Step 2: Convert to fraction form
    243.13/335.54 = 138.22/x
  3. Step 3: Cross multiply
    243.13x = 335.54 × 138.22
  4. Step 4: Simplify right side
    243.13x = 46,378.34
  5. Step 5: Solve for x
    x = 46,378.34/243.13
  6. Step 6: Final answer
    x = 190.76

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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.