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Finding the Fourth Proportional to 210.89, 290.84 and 164.39

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Solution

The fourth proportional to 210.89, 290.84 and 164.39 is: 226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.89 : 290.84 = 164.39 : x
  2. Step 2: Convert to fraction form
    210.89/290.84 = 164.39/x
  3. Step 3: Cross multiply
    210.89x = 290.84 × 164.39
  4. Step 4: Simplify right side
    210.89x = 47,808.91
  5. Step 5: Solve for x
    x = 47,808.91/210.89
  6. Step 6: Final answer
    x = 226.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.