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Finding the Fourth Proportional to 82.25, 123.35 and 33.50

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Solution

The fourth proportional to 82.25, 123.35 and 33.50 is: 50.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.25 : 123.35 = 33.50 : x
  2. Step 2: Convert to fraction form
    82.25/123.35 = 33.50/x
  3. Step 3: Cross multiply
    82.25x = 123.35 × 33.50
  4. Step 4: Simplify right side
    82.25x = 4,132.62
  5. Step 5: Solve for x
    x = 4,132.62/82.25
  6. Step 6: Final answer
    x = 50.24

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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.