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Finding the Fourth Proportional to 211.36, 290.64 and 190.48

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Solution

The fourth proportional to 211.36, 290.64 and 190.48 is: 261.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 290.64 = 190.48 : x
  2. Step 2: Convert to fraction form
    211.36/290.64 = 190.48/x
  3. Step 3: Cross multiply
    211.36x = 290.64 × 190.48
  4. Step 4: Simplify right side
    211.36x = 55,361.11
  5. Step 5: Solve for x
    x = 55,361.11/211.36
  6. Step 6: Final answer
    x = 261.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.