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Finding the Fourth Proportional to 248.88, 371.80 and 212.44

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Solution

The fourth proportional to 248.88, 371.80 and 212.44 is: 317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 371.80 = 212.44 : x
  2. Step 2: Convert to fraction form
    248.88/371.80 = 212.44/x
  3. Step 3: Cross multiply
    248.88x = 371.80 × 212.44
  4. Step 4: Simplify right side
    248.88x = 78,985.19
  5. Step 5: Solve for x
    x = 78,985.19/248.88
  6. Step 6: Final answer
    x = 317.36

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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.