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Finding the Fourth Proportional to 287.22, 428.75 and 265.81

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Solution

The fourth proportional to 287.22, 428.75 and 265.81 is: 396.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.22 : 428.75 = 265.81 : x
  2. Step 2: Convert to fraction form
    287.22/428.75 = 265.81/x
  3. Step 3: Cross multiply
    287.22x = 428.75 × 265.81
  4. Step 4: Simplify right side
    287.22x = 113,963.33
  5. Step 5: Solve for x
    x = 113,963.33/287.22
  6. Step 6: Final answer
    x = 396.78

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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.