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Finding the Fourth Proportional to 154.14, 230.96 and 85.43

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Solution

The fourth proportional to 154.14, 230.96 and 85.43 is: 128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 230.96 = 85.43 : x
  2. Step 2: Convert to fraction form
    154.14/230.96 = 85.43/x
  3. Step 3: Cross multiply
    154.14x = 230.96 × 85.43
  4. Step 4: Simplify right side
    154.14x = 19,729.33
  5. Step 5: Solve for x
    x = 19,729.33/154.14
  6. Step 6: Final answer
    x = 128.00

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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.