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Finding the Fourth Proportional to 219.73, 302.82 and 175.13

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Solution

The fourth proportional to 219.73, 302.82 and 175.13 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.73 : 302.82 = 175.13 : x
  2. Step 2: Convert to fraction form
    219.73/302.82 = 175.13/x
  3. Step 3: Cross multiply
    219.73x = 302.82 × 175.13
  4. Step 4: Simplify right side
    219.73x = 53,033.09
  5. Step 5: Solve for x
    x = 53,033.09/219.73
  6. Step 6: Final answer
    x = 241.36

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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.