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Finding the Fourth Proportional to 280.80, 422.10 and 259.20

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Solution

The fourth proportional to 280.80, 422.10 and 259.20 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.80 : 422.10 = 259.20 : x
  2. Step 2: Convert to fraction form
    280.80/422.10 = 259.20/x
  3. Step 3: Cross multiply
    280.80x = 422.10 × 259.20
  4. Step 4: Simplify right side
    280.80x = 109,408.32
  5. Step 5: Solve for x
    x = 109,408.32/280.80
  6. Step 6: Final answer
    x = 389.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.