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Finding the Fourth Proportional to 309.33, 426.52 and 287.46

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Solution

The fourth proportional to 309.33, 426.52 and 287.46 is: 396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.33 : 426.52 = 287.46 : x
  2. Step 2: Convert to fraction form
    309.33/426.52 = 287.46/x
  3. Step 3: Cross multiply
    309.33x = 426.52 × 287.46
  4. Step 4: Simplify right side
    309.33x = 122,606.00
  5. Step 5: Solve for x
    x = 122,606.00/309.33
  6. Step 6: Final answer
    x = 396.36

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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.