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Finding the Fourth Proportional to 259.25, 386.43 and 248.31

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Solution

The fourth proportional to 259.25, 386.43 and 248.31 is: 370.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.25 : 386.43 = 248.31 : x
  2. Step 2: Convert to fraction form
    259.25/386.43 = 248.31/x
  3. Step 3: Cross multiply
    259.25x = 386.43 × 248.31
  4. Step 4: Simplify right side
    259.25x = 95,953.50
  5. Step 5: Solve for x
    x = 95,953.50/259.25
  6. Step 6: Final answer
    x = 370.13

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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.