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Finding the Fourth Proportional to 210.25, 290.15 and 122.91

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Solution

The fourth proportional to 210.25, 290.15 and 122.91 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 290.15 = 122.91 : x
  2. Step 2: Convert to fraction form
    210.25/290.15 = 122.91/x
  3. Step 3: Cross multiply
    210.25x = 290.15 × 122.91
  4. Step 4: Simplify right side
    210.25x = 35,661.09
  5. Step 5: Solve for x
    x = 35,661.09/210.25
  6. Step 6: Final answer
    x = 169.61

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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.