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Finding the Fourth Proportional to 197.04, 293.40 and 194.86

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Solution

The fourth proportional to 197.04, 293.40 and 194.86 is: 290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 293.40 = 194.86 : x
  2. Step 2: Convert to fraction form
    197.04/293.40 = 194.86/x
  3. Step 3: Cross multiply
    197.04x = 293.40 × 194.86
  4. Step 4: Simplify right side
    197.04x = 57,170.95
  5. Step 5: Solve for x
    x = 57,170.95/197.04
  6. Step 6: Final answer
    x = 290.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.