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Finding the Fourth Proportional to 243.20, 335.95 and 178.05

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Solution

The fourth proportional to 243.20, 335.95 and 178.05 is: 245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 335.95 = 178.05 : x
  2. Step 2: Convert to fraction form
    243.20/335.95 = 178.05/x
  3. Step 3: Cross multiply
    243.20x = 335.95 × 178.05
  4. Step 4: Simplify right side
    243.20x = 59,814.82
  5. Step 5: Solve for x
    x = 59,814.82/243.20
  6. Step 6: Final answer
    x = 245.95

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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.