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Finding the Fourth Proportional to 274.60, 408.37 and 265.95

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Solution

The fourth proportional to 274.60, 408.37 and 265.95 is: 395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.60 : 408.37 = 265.95 : x
  2. Step 2: Convert to fraction form
    274.60/408.37 = 265.95/x
  3. Step 3: Cross multiply
    274.60x = 408.37 × 265.95
  4. Step 4: Simplify right side
    274.60x = 108,603.65
  5. Step 5: Solve for x
    x = 108,603.65/274.60
  6. Step 6: Final answer
    x = 395.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.