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Finding the Fourth Proportional to 212.21, 291.28 and 188.39

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Solution

The fourth proportional to 212.21, 291.28 and 188.39 is: 258.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.21 : 291.28 = 188.39 : x
  2. Step 2: Convert to fraction form
    212.21/291.28 = 188.39/x
  3. Step 3: Cross multiply
    212.21x = 291.28 × 188.39
  4. Step 4: Simplify right side
    212.21x = 54,874.24
  5. Step 5: Solve for x
    x = 54,874.24/212.21
  6. Step 6: Final answer
    x = 258.58

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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.