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Finding the Fourth Proportional to 283.14, 422.28 and 259.56

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Solution

The fourth proportional to 283.14, 422.28 and 259.56 is: 387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 422.28 = 259.56 : x
  2. Step 2: Convert to fraction form
    283.14/422.28 = 259.56/x
  3. Step 3: Cross multiply
    283.14x = 422.28 × 259.56
  4. Step 4: Simplify right side
    283.14x = 109,607.00
  5. Step 5: Solve for x
    x = 109,607.00/283.14
  6. Step 6: Final answer
    x = 387.11

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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.