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Finding the Fourth Proportional to 243.34, 335.80 and 154.80

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Solution

The fourth proportional to 243.34, 335.80 and 154.80 is: 213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.34 : 335.80 = 154.80 : x
  2. Step 2: Convert to fraction form
    243.34/335.80 = 154.80/x
  3. Step 3: Cross multiply
    243.34x = 335.80 × 154.80
  4. Step 4: Simplify right side
    243.34x = 51,981.45
  5. Step 5: Solve for x
    x = 51,981.45/243.34
  6. Step 6: Final answer
    x = 213.62

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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.