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Finding the Fourth Proportional to 287.90, 433.41 and 262.39

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Solution

The fourth proportional to 287.90, 433.41 and 262.39 is: 394.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.90 : 433.41 = 262.39 : x
  2. Step 2: Convert to fraction form
    287.90/433.41 = 262.39/x
  3. Step 3: Cross multiply
    287.90x = 433.41 × 262.39
  4. Step 4: Simplify right side
    287.90x = 113,718.97
  5. Step 5: Solve for x
    x = 113,718.97/287.90
  6. Step 6: Final answer
    x = 394.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.