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Finding the Fourth Proportional to 282.26, 386.14 and 277.40

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Solution

The fourth proportional to 282.26, 386.14 and 277.40 is: 379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.26 : 386.14 = 277.40 : x
  2. Step 2: Convert to fraction form
    282.26/386.14 = 277.40/x
  3. Step 3: Cross multiply
    282.26x = 386.14 × 277.40
  4. Step 4: Simplify right side
    282.26x = 107,115.24
  5. Step 5: Solve for x
    x = 107,115.24/282.26
  6. Step 6: Final answer
    x = 379.49

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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.