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Finding the Fourth Proportional to 254.75, 383.99 and 238.05

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Solution

The fourth proportional to 254.75, 383.99 and 238.05 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.75 : 383.99 = 238.05 : x
  2. Step 2: Convert to fraction form
    254.75/383.99 = 238.05/x
  3. Step 3: Cross multiply
    254.75x = 383.99 × 238.05
  4. Step 4: Simplify right side
    254.75x = 91,407.63
  5. Step 5: Solve for x
    x = 91,407.63/254.75
  6. Step 6: Final answer
    x = 358.82

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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.