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Finding the Fourth Proportional to 504.73, 757.26 and 196.66

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Solution

The fourth proportional to 504.73, 757.26 and 196.66 is: 295.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.73 : 757.26 = 196.66 : x
  2. Step 2: Convert to fraction form
    504.73/757.26 = 196.66/x
  3. Step 3: Cross multiply
    504.73x = 757.26 × 196.66
  4. Step 4: Simplify right side
    504.73x = 148,920.86
  5. Step 5: Solve for x
    x = 148,920.86/504.73
  6. Step 6: Final answer
    x = 295.05

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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.