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Finding the Fourth Proportional to 97.22, 133.50 and 83.40

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Solution

The fourth proportional to 97.22, 133.50 and 83.40 is: 114.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.22 : 133.50 = 83.40 : x
  2. Step 2: Convert to fraction form
    97.22/133.50 = 83.40/x
  3. Step 3: Cross multiply
    97.22x = 133.50 × 83.40
  4. Step 4: Simplify right side
    97.22x = 11,133.90
  5. Step 5: Solve for x
    x = 11,133.90/97.22
  6. Step 6: Final answer
    x = 114.53

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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.