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Finding the Fourth Proportional to 210.39, 290.29 and 144.06

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Solution

The fourth proportional to 210.39, 290.29 and 144.06 is: 198.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.39 : 290.29 = 144.06 : x
  2. Step 2: Convert to fraction form
    210.39/290.29 = 144.06/x
  3. Step 3: Cross multiply
    210.39x = 290.29 × 144.06
  4. Step 4: Simplify right side
    210.39x = 41,819.18
  5. Step 5: Solve for x
    x = 41,819.18/210.39
  6. Step 6: Final answer
    x = 198.77

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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.