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Finding the Fourth Proportional to 287.33, 395.64 and 225.09

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Solution

The fourth proportional to 287.33, 395.64 and 225.09 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.33 : 395.64 = 225.09 : x
  2. Step 2: Convert to fraction form
    287.33/395.64 = 225.09/x
  3. Step 3: Cross multiply
    287.33x = 395.64 × 225.09
  4. Step 4: Simplify right side
    287.33x = 89,054.61
  5. Step 5: Solve for x
    x = 89,054.61/287.33
  6. Step 6: Final answer
    x = 309.94

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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.