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Finding the Fourth Proportional to 244.44, 368.64 and 208.80

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Solution

The fourth proportional to 244.44, 368.64 and 208.80 is: 314.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.44 : 368.64 = 208.80 : x
  2. Step 2: Convert to fraction form
    244.44/368.64 = 208.80/x
  3. Step 3: Cross multiply
    244.44x = 368.64 × 208.80
  4. Step 4: Simplify right side
    244.44x = 76,972.03
  5. Step 5: Solve for x
    x = 76,972.03/244.44
  6. Step 6: Final answer
    x = 314.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.