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Finding the Fourth Proportional to 274.63, 411.80 and 197.63

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Solution

The fourth proportional to 274.63, 411.80 and 197.63 is: 296.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.63 : 411.80 = 197.63 : x
  2. Step 2: Convert to fraction form
    274.63/411.80 = 197.63/x
  3. Step 3: Cross multiply
    274.63x = 411.80 × 197.63
  4. Step 4: Simplify right side
    274.63x = 81,384.03
  5. Step 5: Solve for x
    x = 81,384.03/274.63
  6. Step 6: Final answer
    x = 296.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.