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Finding the Fourth Proportional to 283.24, 422.56 and 270.20

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Solution

The fourth proportional to 283.24, 422.56 and 270.20 is: 403.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.24 : 422.56 = 270.20 : x
  2. Step 2: Convert to fraction form
    283.24/422.56 = 270.20/x
  3. Step 3: Cross multiply
    283.24x = 422.56 × 270.20
  4. Step 4: Simplify right side
    283.24x = 114,175.71
  5. Step 5: Solve for x
    x = 114,175.71/283.24
  6. Step 6: Final answer
    x = 403.11

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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.