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Finding the Fourth Proportional to 211.62, 290.84 and 188.18

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Solution

The fourth proportional to 211.62, 290.84 and 188.18 is: 258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.62 : 290.84 = 188.18 : x
  2. Step 2: Convert to fraction form
    211.62/290.84 = 188.18/x
  3. Step 3: Cross multiply
    211.62x = 290.84 × 188.18
  4. Step 4: Simplify right side
    211.62x = 54,730.27
  5. Step 5: Solve for x
    x = 54,730.27/211.62
  6. Step 6: Final answer
    x = 258.63

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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.