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Finding the Fourth Proportional to 237.44, 327.78 and 139.19

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Solution

The fourth proportional to 237.44, 327.78 and 139.19 is: 192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 327.78 = 139.19 : x
  2. Step 2: Convert to fraction form
    237.44/327.78 = 139.19/x
  3. Step 3: Cross multiply
    237.44x = 327.78 × 139.19
  4. Step 4: Simplify right side
    237.44x = 45,622.06
  5. Step 5: Solve for x
    x = 45,622.06/237.44
  6. Step 6: Final answer
    x = 192.14

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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.