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Finding the Fourth Proportional to 97.36, 133.78 and 92.84

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Solution

The fourth proportional to 97.36, 133.78 and 92.84 is: 127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.36 : 133.78 = 92.84 : x
  2. Step 2: Convert to fraction form
    97.36/133.78 = 92.84/x
  3. Step 3: Cross multiply
    97.36x = 133.78 × 92.84
  4. Step 4: Simplify right side
    97.36x = 12,420.14
  5. Step 5: Solve for x
    x = 12,420.14/97.36
  6. Step 6: Final answer
    x = 127.57

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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.