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Finding the Fourth Proportional to 280.56, 422.82 and 259.68

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Solution

The fourth proportional to 280.56, 422.82 and 259.68 is: 391.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.56 : 422.82 = 259.68 : x
  2. Step 2: Convert to fraction form
    280.56/422.82 = 259.68/x
  3. Step 3: Cross multiply
    280.56x = 422.82 × 259.68
  4. Step 4: Simplify right side
    280.56x = 109,797.90
  5. Step 5: Solve for x
    x = 109,797.90/280.56
  6. Step 6: Final answer
    x = 391.35

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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.