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Finding the Fourth Proportional to 254.54, 380.88 and 193.18

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Solution

The fourth proportional to 254.54, 380.88 and 193.18 is: 289.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.54 : 380.88 = 193.18 : x
  2. Step 2: Convert to fraction form
    254.54/380.88 = 193.18/x
  3. Step 3: Cross multiply
    254.54x = 380.88 × 193.18
  4. Step 4: Simplify right side
    254.54x = 73,578.40
  5. Step 5: Solve for x
    x = 73,578.40/254.54
  6. Step 6: Final answer
    x = 289.06

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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.