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Finding the Fourth Proportional to 211.94, 290.91 and 188.10

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Solution

The fourth proportional to 211.94, 290.91 and 188.10 is: 258.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.94 : 290.91 = 188.10 : x
  2. Step 2: Convert to fraction form
    211.94/290.91 = 188.10/x
  3. Step 3: Cross multiply
    211.94x = 290.91 × 188.10
  4. Step 4: Simplify right side
    211.94x = 54,718.72
  5. Step 5: Solve for x
    x = 54,718.72/211.94
  6. Step 6: Final answer
    x = 258.19

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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.