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Finding the Fourth Proportional to 371.50, 556.86 and 294.63

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Solution

The fourth proportional to 371.50, 556.86 and 294.63 is: 441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.50 : 556.86 = 294.63 : x
  2. Step 2: Convert to fraction form
    371.50/556.86 = 294.63/x
  3. Step 3: Cross multiply
    371.50x = 556.86 × 294.63
  4. Step 4: Simplify right side
    371.50x = 164,067.66
  5. Step 5: Solve for x
    x = 164,067.66/371.50
  6. Step 6: Final answer
    x = 441.64

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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.