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Finding the Fourth Proportional to 287.25, 428.96 and 241.22

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Solution

The fourth proportional to 287.25, 428.96 and 241.22 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.25 : 428.96 = 241.22 : x
  2. Step 2: Convert to fraction form
    287.25/428.96 = 241.22/x
  3. Step 3: Cross multiply
    287.25x = 428.96 × 241.22
  4. Step 4: Simplify right side
    287.25x = 103,470.38
  5. Step 5: Solve for x
    x = 103,470.38/287.25
  6. Step 6: Final answer
    x = 360.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.