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Finding the Fourth Proportional to 82.37, 123.57 and 28.28

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Solution

The fourth proportional to 82.37, 123.57 and 28.28 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 123.57 = 28.28 : x
  2. Step 2: Convert to fraction form
    82.37/123.57 = 28.28/x
  3. Step 3: Cross multiply
    82.37x = 123.57 × 28.28
  4. Step 4: Simplify right side
    82.37x = 3,494.42
  5. Step 5: Solve for x
    x = 3,494.42/82.37
  6. Step 6: Final answer
    x = 42.42

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