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Finding the Fourth Proportional to 254.94, 384.09 and 231.51

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Solution

The fourth proportional to 254.94, 384.09 and 231.51 is: 348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 384.09 = 231.51 : x
  2. Step 2: Convert to fraction form
    254.94/384.09 = 231.51/x
  3. Step 3: Cross multiply
    254.94x = 384.09 × 231.51
  4. Step 4: Simplify right side
    254.94x = 88,920.68
  5. Step 5: Solve for x
    x = 88,920.68/254.94
  6. Step 6: Final answer
    x = 348.79

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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.