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Finding the Fourth Proportional to 211.21, 289.91 and 187.39

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Solution

The fourth proportional to 211.21, 289.91 and 187.39 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.21 : 289.91 = 187.39 : x
  2. Step 2: Convert to fraction form
    211.21/289.91 = 187.39/x
  3. Step 3: Cross multiply
    211.21x = 289.91 × 187.39
  4. Step 4: Simplify right side
    211.21x = 54,326.23
  5. Step 5: Solve for x
    x = 54,326.23/211.21
  6. Step 6: Final answer
    x = 257.21

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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.