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Finding the Fourth Proportional to 259.51, 386.09 and 249.49

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Solution

The fourth proportional to 259.51, 386.09 and 249.49 is: 371.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.51 : 386.09 = 249.49 : x
  2. Step 2: Convert to fraction form
    259.51/386.09 = 249.49/x
  3. Step 3: Cross multiply
    259.51x = 386.09 × 249.49
  4. Step 4: Simplify right side
    259.51x = 96,325.59
  5. Step 5: Solve for x
    x = 96,325.59/259.51
  6. Step 6: Final answer
    x = 371.18

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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.