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Finding the Fourth Proportional to 211.92, 316.35 and 183.22

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Solution

The fourth proportional to 211.92, 316.35 and 183.22 is: 273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.92 : 316.35 = 183.22 : x
  2. Step 2: Convert to fraction form
    211.92/316.35 = 183.22/x
  3. Step 3: Cross multiply
    211.92x = 316.35 × 183.22
  4. Step 4: Simplify right side
    211.92x = 57,961.65
  5. Step 5: Solve for x
    x = 57,961.65/211.92
  6. Step 6: Final answer
    x = 273.51

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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.