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Finding the Fourth Proportional to 334.73, 504.63 and 280.97

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Solution

The fourth proportional to 334.73, 504.63 and 280.97 is: 423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.73 : 504.63 = 280.97 : x
  2. Step 2: Convert to fraction form
    334.73/504.63 = 280.97/x
  3. Step 3: Cross multiply
    334.73x = 504.63 × 280.97
  4. Step 4: Simplify right side
    334.73x = 141,785.26
  5. Step 5: Solve for x
    x = 141,785.26/334.73
  6. Step 6: Final answer
    x = 423.58

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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.