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Finding the Fourth Proportional to 210.30, 290.44 and 164.22

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Solution

The fourth proportional to 210.30, 290.44 and 164.22 is: 226.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.30 : 290.44 = 164.22 : x
  2. Step 2: Convert to fraction form
    210.30/290.44 = 164.22/x
  3. Step 3: Cross multiply
    210.30x = 290.44 × 164.22
  4. Step 4: Simplify right side
    210.30x = 47,696.06
  5. Step 5: Solve for x
    x = 47,696.06/210.30
  6. Step 6: Final answer
    x = 226.80

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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.