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Finding the Fourth Proportional to 282.06, 388.74 and 219.80

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Solution

The fourth proportional to 282.06, 388.74 and 219.80 is: 302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 388.74 = 219.80 : x
  2. Step 2: Convert to fraction form
    282.06/388.74 = 219.80/x
  3. Step 3: Cross multiply
    282.06x = 388.74 × 219.80
  4. Step 4: Simplify right side
    282.06x = 85,443.11
  5. Step 5: Solve for x
    x = 85,443.11/282.06
  6. Step 6: Final answer
    x = 302.93

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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.