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Finding the Fourth Proportional to 282.28, 386.12 and 278.05

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Solution

The fourth proportional to 282.28, 386.12 and 278.05 is: 380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.28 : 386.12 = 278.05 : x
  2. Step 2: Convert to fraction form
    282.28/386.12 = 278.05/x
  3. Step 3: Cross multiply
    282.28x = 386.12 × 278.05
  4. Step 4: Simplify right side
    282.28x = 107,360.67
  5. Step 5: Solve for x
    x = 107,360.67/282.28
  6. Step 6: Final answer
    x = 380.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.