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Finding the Fourth Proportional to 282.15, 395.55 and 282.15

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Solution

The fourth proportional to 282.15, 395.55 and 282.15 is: 395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.15 : 395.55 = 282.15 : x
  2. Step 2: Convert to fraction form
    282.15/395.55 = 282.15/x
  3. Step 3: Cross multiply
    282.15x = 395.55 × 282.15
  4. Step 4: Simplify right side
    282.15x = 111,604.43
  5. Step 5: Solve for x
    x = 111,604.43/282.15
  6. Step 6: Final answer
    x = 395.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.