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Finding the Fourth Proportional to 211.45, 289.93 and 190.64

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Solution

The fourth proportional to 211.45, 289.93 and 190.64 is: 261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.45 : 289.93 = 190.64 : x
  2. Step 2: Convert to fraction form
    211.45/289.93 = 190.64/x
  3. Step 3: Cross multiply
    211.45x = 289.93 × 190.64
  4. Step 4: Simplify right side
    211.45x = 55,272.26
  5. Step 5: Solve for x
    x = 55,272.26/211.45
  6. Step 6: Final answer
    x = 261.40

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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.