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Finding the Fourth Proportional to 371.78, 556.36 and 274.05

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Solution

The fourth proportional to 371.78, 556.36 and 274.05 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.78 : 556.36 = 274.05 : x
  2. Step 2: Convert to fraction form
    371.78/556.36 = 274.05/x
  3. Step 3: Cross multiply
    371.78x = 556.36 × 274.05
  4. Step 4: Simplify right side
    371.78x = 152,472.11
  5. Step 5: Solve for x
    x = 152,472.11/371.78
  6. Step 6: Final answer
    x = 410.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.