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Finding the Fourth Proportional to 371.12, 556.35 and 197.66

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Solution

The fourth proportional to 371.12, 556.35 and 197.66 is: 296.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.12 : 556.35 = 197.66 : x
  2. Step 2: Convert to fraction form
    371.12/556.35 = 197.66/x
  3. Step 3: Cross multiply
    371.12x = 556.35 × 197.66
  4. Step 4: Simplify right side
    371.12x = 109,968.14
  5. Step 5: Solve for x
    x = 109,968.14/371.12
  6. Step 6: Final answer
    x = 296.31

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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.