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Finding the Fourth Proportional to 237.85, 355.49 and 183.19

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Solution

The fourth proportional to 237.85, 355.49 and 183.19 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.85 : 355.49 = 183.19 : x
  2. Step 2: Convert to fraction form
    237.85/355.49 = 183.19/x
  3. Step 3: Cross multiply
    237.85x = 355.49 × 183.19
  4. Step 4: Simplify right side
    237.85x = 65,122.21
  5. Step 5: Solve for x
    x = 65,122.21/237.85
  6. Step 6: Final answer
    x = 273.80

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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.