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Finding the Fourth Proportional to 371.16, 556.29 and 197.55

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Solution

The fourth proportional to 371.16, 556.29 and 197.55 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.16 : 556.29 = 197.55 : x
  2. Step 2: Convert to fraction form
    371.16/556.29 = 197.55/x
  3. Step 3: Cross multiply
    371.16x = 556.29 × 197.55
  4. Step 4: Simplify right side
    371.16x = 109,895.09
  5. Step 5: Solve for x
    x = 109,895.09/371.16
  6. Step 6: Final answer
    x = 296.09

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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.