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Finding the Fourth Proportional to 248.50, 371.09 and 202.75

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Solution

The fourth proportional to 248.50, 371.09 and 202.75 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.50 : 371.09 = 202.75 : x
  2. Step 2: Convert to fraction form
    248.50/371.09 = 202.75/x
  3. Step 3: Cross multiply
    248.50x = 371.09 × 202.75
  4. Step 4: Simplify right side
    248.50x = 75,238.50
  5. Step 5: Solve for x
    x = 75,238.50/248.50
  6. Step 6: Final answer
    x = 302.77

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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.