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Finding the Fourth Proportional to 280.98, 422.94 and 239.22

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Solution

The fourth proportional to 280.98, 422.94 and 239.22 is: 360.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.98 : 422.94 = 239.22 : x
  2. Step 2: Convert to fraction form
    280.98/422.94 = 239.22/x
  3. Step 3: Cross multiply
    280.98x = 422.94 × 239.22
  4. Step 4: Simplify right side
    280.98x = 101,175.71
  5. Step 5: Solve for x
    x = 101,175.71/280.98
  6. Step 6: Final answer
    x = 360.08

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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.