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Finding the Fourth Proportional to 254.94, 350.30 and 230.64

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Solution

The fourth proportional to 254.94, 350.30 and 230.64 is: 316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.94 : 350.30 = 230.64 : x
  2. Step 2: Convert to fraction form
    254.94/350.30 = 230.64/x
  3. Step 3: Cross multiply
    254.94x = 350.30 × 230.64
  4. Step 4: Simplify right side
    254.94x = 80,792.04
  5. Step 5: Solve for x
    x = 80,792.04/254.94
  6. Step 6: Final answer
    x = 316.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.