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Finding the Fourth Proportional to 154.14, 212.59 and 98.85

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Solution

The fourth proportional to 154.14, 212.59 and 98.85 is: 136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.14 : 212.59 = 98.85 : x
  2. Step 2: Convert to fraction form
    154.14/212.59 = 98.85/x
  3. Step 3: Cross multiply
    154.14x = 212.59 × 98.85
  4. Step 4: Simplify right side
    154.14x = 21,015.44
  5. Step 5: Solve for x
    x = 21,015.44/154.14
  6. Step 6: Final answer
    x = 136.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.