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Finding the Fourth Proportional to 211.44, 290.16 and 197.04

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Solution

The fourth proportional to 211.44, 290.16 and 197.04 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.44 : 290.16 = 197.04 : x
  2. Step 2: Convert to fraction form
    211.44/290.16 = 197.04/x
  3. Step 3: Cross multiply
    211.44x = 290.16 × 197.04
  4. Step 4: Simplify right side
    211.44x = 57,173.13
  5. Step 5: Solve for x
    x = 57,173.13/211.44
  6. Step 6: Final answer
    x = 270.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.