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Finding the Fourth Proportional to 282.12, 387.07 and 257.44

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Solution

The fourth proportional to 282.12, 387.07 and 257.44 is: 353.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 387.07 = 257.44 : x
  2. Step 2: Convert to fraction form
    282.12/387.07 = 257.44/x
  3. Step 3: Cross multiply
    282.12x = 387.07 × 257.44
  4. Step 4: Simplify right side
    282.12x = 99,647.30
  5. Step 5: Solve for x
    x = 99,647.30/282.12
  6. Step 6: Final answer
    x = 353.21

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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.