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Finding the Fourth Proportional to 274.05, 377.77 and 195.13

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Solution

The fourth proportional to 274.05, 377.77 and 195.13 is: 268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.05 : 377.77 = 195.13 : x
  2. Step 2: Convert to fraction form
    274.05/377.77 = 195.13/x
  3. Step 3: Cross multiply
    274.05x = 377.77 × 195.13
  4. Step 4: Simplify right side
    274.05x = 73,714.26
  5. Step 5: Solve for x
    x = 73,714.26/274.05
  6. Step 6: Final answer
    x = 268.98

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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.