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Finding the Fourth Proportional to 82.33, 123.49 and 28.23

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Solution

The fourth proportional to 82.33, 123.49 and 28.23 is: 42.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.33 : 123.49 = 28.23 : x
  2. Step 2: Convert to fraction form
    82.33/123.49 = 28.23/x
  3. Step 3: Cross multiply
    82.33x = 123.49 × 28.23
  4. Step 4: Simplify right side
    82.33x = 3,486.12
  5. Step 5: Solve for x
    x = 3,486.12/82.33
  6. Step 6: Final answer
    x = 42.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.