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Finding the Fourth Proportional to 305.26, 456.90 and 195.64

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Solution

The fourth proportional to 305.26, 456.90 and 195.64 is: 292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.26 : 456.90 = 195.64 : x
  2. Step 2: Convert to fraction form
    305.26/456.90 = 195.64/x
  3. Step 3: Cross multiply
    305.26x = 456.90 × 195.64
  4. Step 4: Simplify right side
    305.26x = 89,387.92
  5. Step 5: Solve for x
    x = 89,387.92/305.26
  6. Step 6: Final answer
    x = 292.83

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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.