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Finding the Fourth Proportional to 154.80, 231.06 and 144.54

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Solution

The fourth proportional to 154.80, 231.06 and 144.54 is: 215.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 231.06 = 144.54 : x
  2. Step 2: Convert to fraction form
    154.80/231.06 = 144.54/x
  3. Step 3: Cross multiply
    154.80x = 231.06 × 144.54
  4. Step 4: Simplify right side
    154.80x = 33,397.95
  5. Step 5: Solve for x
    x = 33,397.95/154.80
  6. Step 6: Final answer
    x = 215.75

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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.