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Finding the Fourth Proportional to 287.30, 428.24 and 265.43

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Solution

The fourth proportional to 287.30, 428.24 and 265.43 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.30 : 428.24 = 265.43 : x
  2. Step 2: Convert to fraction form
    287.30/428.24 = 265.43/x
  3. Step 3: Cross multiply
    287.30x = 428.24 × 265.43
  4. Step 4: Simplify right side
    287.30x = 113,664.27
  5. Step 5: Solve for x
    x = 113,664.27/287.30
  6. Step 6: Final answer
    x = 395.64

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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.