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Finding the Fourth Proportional to 154.96, 213.88 and 99.73

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Solution

The fourth proportional to 154.96, 213.88 and 99.73 is: 137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 213.88 = 99.73 : x
  2. Step 2: Convert to fraction form
    154.96/213.88 = 99.73/x
  3. Step 3: Cross multiply
    154.96x = 213.88 × 99.73
  4. Step 4: Simplify right side
    154.96x = 21,330.25
  5. Step 5: Solve for x
    x = 21,330.25/154.96
  6. Step 6: Final answer
    x = 137.65

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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.