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Finding the Fourth Proportional to 280.44, 422.37 and 278.28

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Solution

The fourth proportional to 280.44, 422.37 and 278.28 is: 419.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.44 : 422.37 = 278.28 : x
  2. Step 2: Convert to fraction form
    280.44/422.37 = 278.28/x
  3. Step 3: Cross multiply
    280.44x = 422.37 × 278.28
  4. Step 4: Simplify right side
    280.44x = 117,537.12
  5. Step 5: Solve for x
    x = 117,537.12/280.44
  6. Step 6: Final answer
    x = 419.12

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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.