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Finding the Fourth Proportional to 282.29, 386.37 and 274.19

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Solution

The fourth proportional to 282.29, 386.37 and 274.19 is: 375.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.29 : 386.37 = 274.19 : x
  2. Step 2: Convert to fraction form
    282.29/386.37 = 274.19/x
  3. Step 3: Cross multiply
    282.29x = 386.37 × 274.19
  4. Step 4: Simplify right side
    282.29x = 105,936.86
  5. Step 5: Solve for x
    x = 105,936.86/282.29
  6. Step 6: Final answer
    x = 375.28

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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.