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Finding the Fourth Proportional to 82.40, 123.58 and 28.28

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Solution

The fourth proportional to 82.40, 123.58 and 28.28 is: 42.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.40 : 123.58 = 28.28 : x
  2. Step 2: Convert to fraction form
    82.40/123.58 = 28.28/x
  3. Step 3: Cross multiply
    82.40x = 123.58 × 28.28
  4. Step 4: Simplify right side
    82.40x = 3,494.84
  5. Step 5: Solve for x
    x = 3,494.84/82.40
  6. Step 6: Final answer
    x = 42.41

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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.