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Finding the Fourth Proportional to 280.26, 385.92 and 238.74

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Solution

The fourth proportional to 280.26, 385.92 and 238.74 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.26 : 385.92 = 238.74 : x
  2. Step 2: Convert to fraction form
    280.26/385.92 = 238.74/x
  3. Step 3: Cross multiply
    280.26x = 385.92 × 238.74
  4. Step 4: Simplify right side
    280.26x = 92,134.54
  5. Step 5: Solve for x
    x = 92,134.54/280.26
  6. Step 6: Final answer
    x = 328.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.