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Finding the Fourth Proportional to 211.20, 289.59 and 190.40

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Solution

The fourth proportional to 211.20, 289.59 and 190.40 is: 261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.20 : 289.59 = 190.40 : x
  2. Step 2: Convert to fraction form
    211.20/289.59 = 190.40/x
  3. Step 3: Cross multiply
    211.20x = 289.59 × 190.40
  4. Step 4: Simplify right side
    211.20x = 55,136.49
  5. Step 5: Solve for x
    x = 55,136.49/211.20
  6. Step 6: Final answer
    x = 261.06

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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.