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Finding the Fourth Proportional to 210.80, 290.66 and 169.29

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Solution

The fourth proportional to 210.80, 290.66 and 169.29 is: 233.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.80 : 290.66 = 169.29 : x
  2. Step 2: Convert to fraction form
    210.80/290.66 = 169.29/x
  3. Step 3: Cross multiply
    210.80x = 290.66 × 169.29
  4. Step 4: Simplify right side
    210.80x = 49,204.98
  5. Step 5: Solve for x
    x = 49,204.98/210.80
  6. Step 6: Final answer
    x = 233.42

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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.