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Finding the Fourth Proportional to 223.37, 335.06 and 77.11

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Solution

The fourth proportional to 223.37, 335.06 and 77.11 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.37 : 335.06 = 77.11 : x
  2. Step 2: Convert to fraction form
    223.37/335.06 = 77.11/x
  3. Step 3: Cross multiply
    223.37x = 335.06 × 77.11
  4. Step 4: Simplify right side
    223.37x = 25,836.48
  5. Step 5: Solve for x
    x = 25,836.48/223.37
  6. Step 6: Final answer
    x = 115.67

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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.