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Finding the Fourth Proportional to 248.78, 344.80 and 244.16

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Solution

The fourth proportional to 248.78, 344.80 and 244.16 is: 338.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.78 : 344.80 = 244.16 : x
  2. Step 2: Convert to fraction form
    248.78/344.80 = 244.16/x
  3. Step 3: Cross multiply
    248.78x = 344.80 × 244.16
  4. Step 4: Simplify right side
    248.78x = 84,186.37
  5. Step 5: Solve for x
    x = 84,186.37/248.78
  6. Step 6: Final answer
    x = 338.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.