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Finding the Fourth Proportional to 248.24, 370.41 and 219.08

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Solution

The fourth proportional to 248.24, 370.41 and 219.08 is: 326.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.24 : 370.41 = 219.08 : x
  2. Step 2: Convert to fraction form
    248.24/370.41 = 219.08/x
  3. Step 3: Cross multiply
    248.24x = 370.41 × 219.08
  4. Step 4: Simplify right side
    248.24x = 81,148.33
  5. Step 5: Solve for x
    x = 81,148.33/248.24
  6. Step 6: Final answer
    x = 326.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.