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Finding the Fourth Proportional to 254.36, 380.70 and 193.15

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Solution

The fourth proportional to 254.36, 380.70 and 193.15 is: 289.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.36 : 380.70 = 193.15 : x
  2. Step 2: Convert to fraction form
    254.36/380.70 = 193.15/x
  3. Step 3: Cross multiply
    254.36x = 380.70 × 193.15
  4. Step 4: Simplify right side
    254.36x = 73,532.68
  5. Step 5: Solve for x
    x = 73,532.68/254.36
  6. Step 6: Final answer
    x = 289.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.