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Finding the Fourth Proportional to 248.95, 371.80 and 208.41

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Solution

The fourth proportional to 248.95, 371.80 and 208.41 is: 311.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.95 : 371.80 = 208.41 : x
  2. Step 2: Convert to fraction form
    248.95/371.80 = 208.41/x
  3. Step 3: Cross multiply
    248.95x = 371.80 × 208.41
  4. Step 4: Simplify right side
    248.95x = 77,486.84
  5. Step 5: Solve for x
    x = 77,486.84/248.95
  6. Step 6: Final answer
    x = 311.25

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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.