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Finding the Fourth Proportional to 243.11, 364.72 and 113.00

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Solution

The fourth proportional to 243.11, 364.72 and 113.00 is: 169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.11 : 364.72 = 113.00 : x
  2. Step 2: Convert to fraction form
    243.11/364.72 = 113.00/x
  3. Step 3: Cross multiply
    243.11x = 364.72 × 113.00
  4. Step 4: Simplify right side
    243.11x = 41,213.99
  5. Step 5: Solve for x
    x = 41,213.99/243.11
  6. Step 6: Final answer
    x = 169.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.