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Finding the Fourth Proportional to 280.62, 422.49 and 248.31

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Solution

The fourth proportional to 280.62, 422.49 and 248.31 is: 373.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.62 : 422.49 = 248.31 : x
  2. Step 2: Convert to fraction form
    280.62/422.49 = 248.31/x
  3. Step 3: Cross multiply
    280.62x = 422.49 × 248.31
  4. Step 4: Simplify right side
    280.62x = 104,908.49
  5. Step 5: Solve for x
    x = 104,908.49/280.62
  6. Step 6: Final answer
    x = 373.85

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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.