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Finding the Fourth Proportional to 254.14, 378.60 and 244.84

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Solution

The fourth proportional to 254.14, 378.60 and 244.84 is: 364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.14 : 378.60 = 244.84 : x
  2. Step 2: Convert to fraction form
    254.14/378.60 = 244.84/x
  3. Step 3: Cross multiply
    254.14x = 378.60 × 244.84
  4. Step 4: Simplify right side
    254.14x = 92,696.42
  5. Step 5: Solve for x
    x = 92,696.42/254.14
  6. Step 6: Final answer
    x = 364.75

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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.