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Finding the Fourth Proportional to 219.82, 303.03 and 173

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Solution

The fourth proportional to 219.82, 303.03 and 173 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.82 : 303.03 = 173 : x
  2. Step 2: Convert to fraction form
    219.82/303.03 = 173/x
  3. Step 3: Cross multiply
    219.82x = 303.03 × 173
  4. Step 4: Simplify right side
    219.82x = 52,424.19
  5. Step 5: Solve for x
    x = 52,424.19/219.82
  6. Step 6: Final answer
    x = 238.49

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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.