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Finding the Fourth Proportional to 210.22, 290.15 and 144.75

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Solution

The fourth proportional to 210.22, 290.15 and 144.75 is: 199.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.22 : 290.15 = 144.75 : x
  2. Step 2: Convert to fraction form
    210.22/290.15 = 144.75/x
  3. Step 3: Cross multiply
    210.22x = 290.15 × 144.75
  4. Step 4: Simplify right side
    210.22x = 41,999.21
  5. Step 5: Solve for x
    x = 41,999.21/210.22
  6. Step 6: Final answer
    x = 199.79

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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.