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Finding the Fourth Proportional to 282.84, 422.20 and 262.24

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Solution

The fourth proportional to 282.84, 422.20 and 262.24 is: 391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 422.20 = 262.24 : x
  2. Step 2: Convert to fraction form
    282.84/422.20 = 262.24/x
  3. Step 3: Cross multiply
    282.84x = 422.20 × 262.24
  4. Step 4: Simplify right side
    282.84x = 110,717.73
  5. Step 5: Solve for x
    x = 110,717.73/282.84
  6. Step 6: Final answer
    x = 391.45

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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.