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Finding the Fourth Proportional to 305.26, 456.92 and 223.72

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Solution

The fourth proportional to 305.26, 456.92 and 223.72 is: 334.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.26 : 456.92 = 223.72 : x
  2. Step 2: Convert to fraction form
    305.26/456.92 = 223.72/x
  3. Step 3: Cross multiply
    305.26x = 456.92 × 223.72
  4. Step 4: Simplify right side
    305.26x = 102,222.14
  5. Step 5: Solve for x
    x = 102,222.14/305.26
  6. Step 6: Final answer
    x = 334.87

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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.