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Finding the Fourth Proportional to 211.71, 290.60 and 187.89

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Solution

The fourth proportional to 211.71, 290.60 and 187.89 is: 257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 290.60 = 187.89 : x
  2. Step 2: Convert to fraction form
    211.71/290.60 = 187.89/x
  3. Step 3: Cross multiply
    211.71x = 290.60 × 187.89
  4. Step 4: Simplify right side
    211.71x = 54,600.83
  5. Step 5: Solve for x
    x = 54,600.83/211.71
  6. Step 6: Final answer
    x = 257.90

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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.