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Finding the Fourth Proportional to 193.49, 290.08 and 144.89

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Solution

The fourth proportional to 193.49, 290.08 and 144.89 is: 217.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.49 : 290.08 = 144.89 : x
  2. Step 2: Convert to fraction form
    193.49/290.08 = 144.89/x
  3. Step 3: Cross multiply
    193.49x = 290.08 × 144.89
  4. Step 4: Simplify right side
    193.49x = 42,029.51
  5. Step 5: Solve for x
    x = 42,029.51/193.49
  6. Step 6: Final answer
    x = 217.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.