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Finding the Fourth Proportional to 309.12, 426.36 and 192.48

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Solution

The fourth proportional to 309.12, 426.36 and 192.48 is: 265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.12 : 426.36 = 192.48 : x
  2. Step 2: Convert to fraction form
    309.12/426.36 = 192.48/x
  3. Step 3: Cross multiply
    309.12x = 426.36 × 192.48
  4. Step 4: Simplify right side
    309.12x = 82,065.77
  5. Step 5: Solve for x
    x = 82,065.77/309.12
  6. Step 6: Final answer
    x = 265.48

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Why These Related Problems?

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