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Finding the Fourth Proportional to 282.05, 387.12 and 250.26

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Solution

The fourth proportional to 282.05, 387.12 and 250.26 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.05 : 387.12 = 250.26 : x
  2. Step 2: Convert to fraction form
    282.05/387.12 = 250.26/x
  3. Step 3: Cross multiply
    282.05x = 387.12 × 250.26
  4. Step 4: Simplify right side
    282.05x = 96,880.65
  5. Step 5: Solve for x
    x = 96,880.65/282.05
  6. Step 6: Final answer
    x = 343.49

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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.