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Finding the Fourth Proportional to 254.21, 378.81 and 238.82

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Solution

The fourth proportional to 254.21, 378.81 and 238.82 is: 355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.21 : 378.81 = 238.82 : x
  2. Step 2: Convert to fraction form
    254.21/378.81 = 238.82/x
  3. Step 3: Cross multiply
    254.21x = 378.81 × 238.82
  4. Step 4: Simplify right side
    254.21x = 90,465.51
  5. Step 5: Solve for x
    x = 90,465.51/254.21
  6. Step 6: Final answer
    x = 355.88

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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.