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Finding the Fourth Proportional to 197.04, 292.08 and 194.16

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Solution

The fourth proportional to 197.04, 292.08 and 194.16 is: 287.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.04 : 292.08 = 194.16 : x
  2. Step 2: Convert to fraction form
    197.04/292.08 = 194.16/x
  3. Step 3: Cross multiply
    197.04x = 292.08 × 194.16
  4. Step 4: Simplify right side
    197.04x = 56,710.25
  5. Step 5: Solve for x
    x = 56,710.25/197.04
  6. Step 6: Final answer
    x = 287.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.