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Finding the Fourth Proportional to 248.88, 371.67 and 212.40

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Solution

The fourth proportional to 248.88, 371.67 and 212.40 is: 317.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.88 : 371.67 = 212.40 : x
  2. Step 2: Convert to fraction form
    248.88/371.67 = 212.40/x
  3. Step 3: Cross multiply
    248.88x = 371.67 × 212.40
  4. Step 4: Simplify right side
    248.88x = 78,942.71
  5. Step 5: Solve for x
    x = 78,942.71/248.88
  6. Step 6: Final answer
    x = 317.19

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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.