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Finding the Fourth Proportional to 371.08, 557.64 and 197.88

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Solution

The fourth proportional to 371.08, 557.64 and 197.88 is: 297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.08 : 557.64 = 197.88 : x
  2. Step 2: Convert to fraction form
    371.08/557.64 = 197.88/x
  3. Step 3: Cross multiply
    371.08x = 557.64 × 197.88
  4. Step 4: Simplify right side
    371.08x = 110,344.27
  5. Step 5: Solve for x
    x = 110,344.27/371.08
  6. Step 6: Final answer
    x = 297.36

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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.