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Finding the Fourth Proportional to 219.74, 302.73 and 182.84

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Solution

The fourth proportional to 219.74, 302.73 and 182.84 is: 251.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.74 : 302.73 = 182.84 : x
  2. Step 2: Convert to fraction form
    219.74/302.73 = 182.84/x
  3. Step 3: Cross multiply
    219.74x = 302.73 × 182.84
  4. Step 4: Simplify right side
    219.74x = 55,351.15
  5. Step 5: Solve for x
    x = 55,351.15/219.74
  6. Step 6: Final answer
    x = 251.89

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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.