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Finding the Fourth Proportional to 193.84, 266.36 and 154.96

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Solution

The fourth proportional to 193.84, 266.36 and 154.96 is: 212.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 266.36 = 154.96 : x
  2. Step 2: Convert to fraction form
    193.84/266.36 = 154.96/x
  3. Step 3: Cross multiply
    193.84x = 266.36 × 154.96
  4. Step 4: Simplify right side
    193.84x = 41,275.15
  5. Step 5: Solve for x
    x = 41,275.15/193.84
  6. Step 6: Final answer
    x = 212.93

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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.