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Finding the Fourth Proportional to 199.07, 274.80 and 133.61

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Solution

The fourth proportional to 199.07, 274.80 and 133.61 is: 184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.07 : 274.80 = 133.61 : x
  2. Step 2: Convert to fraction form
    199.07/274.80 = 133.61/x
  3. Step 3: Cross multiply
    199.07x = 274.80 × 133.61
  4. Step 4: Simplify right side
    199.07x = 36,714.65
  5. Step 5: Solve for x
    x = 36,714.65/199.07
  6. Step 6: Final answer
    x = 184.44

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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.