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Finding the Fourth Proportional to 282.91, 388.15 and 269.14

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Solution

The fourth proportional to 282.91, 388.15 and 269.14 is: 369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.91 : 388.15 = 269.14 : x
  2. Step 2: Convert to fraction form
    282.91/388.15 = 269.14/x
  3. Step 3: Cross multiply
    282.91x = 388.15 × 269.14
  4. Step 4: Simplify right side
    282.91x = 104,466.69
  5. Step 5: Solve for x
    x = 104,466.69/282.91
  6. Step 6: Final answer
    x = 369.26

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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.