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Finding the Fourth Proportional to 286.26, 427.31 and 248.01

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Solution

The fourth proportional to 286.26, 427.31 and 248.01 is: 370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 427.31 = 248.01 : x
  2. Step 2: Convert to fraction form
    286.26/427.31 = 248.01/x
  3. Step 3: Cross multiply
    286.26x = 427.31 × 248.01
  4. Step 4: Simplify right side
    286.26x = 105,975.91
  5. Step 5: Solve for x
    x = 105,975.91/286.26
  6. Step 6: Final answer
    x = 370.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.