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Finding the Fourth Proportional to 371.72, 556.77 and 294.77

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Solution

The fourth proportional to 371.72, 556.77 and 294.77 is: 441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.72 : 556.77 = 294.77 : x
  2. Step 2: Convert to fraction form
    371.72/556.77 = 294.77/x
  3. Step 3: Cross multiply
    371.72x = 556.77 × 294.77
  4. Step 4: Simplify right side
    371.72x = 164,119.09
  5. Step 5: Solve for x
    x = 164,119.09/371.72
  6. Step 6: Final answer
    x = 441.51

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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.