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Finding the Fourth Proportional to 371.76, 511.68 and 273.36

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Solution

The fourth proportional to 371.76, 511.68 and 273.36 is: 376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.76 : 511.68 = 273.36 : x
  2. Step 2: Convert to fraction form
    371.76/511.68 = 273.36/x
  3. Step 3: Cross multiply
    371.76x = 511.68 × 273.36
  4. Step 4: Simplify right side
    371.76x = 139,872.84
  5. Step 5: Solve for x
    x = 139,872.84/371.76
  6. Step 6: Final answer
    x = 376.25

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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.