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Finding the Fourth Proportional to 309.26, 426.48 and 192.80

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Solution

The fourth proportional to 309.26, 426.48 and 192.80 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.26 : 426.48 = 192.80 : x
  2. Step 2: Convert to fraction form
    309.26/426.48 = 192.80/x
  3. Step 3: Cross multiply
    309.26x = 426.48 × 192.80
  4. Step 4: Simplify right side
    309.26x = 82,225.34
  5. Step 5: Solve for x
    x = 82,225.34/309.26
  6. Step 6: Final answer
    x = 265.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.