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Finding the Fourth Proportional to 283.64, 422.87 and 276.42

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Solution

The fourth proportional to 283.64, 422.87 and 276.42 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.64 : 422.87 = 276.42 : x
  2. Step 2: Convert to fraction form
    283.64/422.87 = 276.42/x
  3. Step 3: Cross multiply
    283.64x = 422.87 × 276.42
  4. Step 4: Simplify right side
    283.64x = 116,888.34
  5. Step 5: Solve for x
    x = 116,888.34/283.64
  6. Step 6: Final answer
    x = 412.11

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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.