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Finding the Fourth Proportional to 287.90, 433.97 and 271.17

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Solution

The fourth proportional to 287.90, 433.97 and 271.17 is: 408.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.90 : 433.97 = 271.17 : x
  2. Step 2: Convert to fraction form
    287.90/433.97 = 271.17/x
  3. Step 3: Cross multiply
    287.90x = 433.97 × 271.17
  4. Step 4: Simplify right side
    287.90x = 117,678.29
  5. Step 5: Solve for x
    x = 117,678.29/287.90
  6. Step 6: Final answer
    x = 408.75

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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.