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Finding the Fourth Proportional to 40.82, 56.33 and 22.40

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Solution

The fourth proportional to 40.82, 56.33 and 22.40 is: 30.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 56.33 = 22.40 : x
  2. Step 2: Convert to fraction form
    40.82/56.33 = 22.40/x
  3. Step 3: Cross multiply
    40.82x = 56.33 × 22.40
  4. Step 4: Simplify right side
    40.82x = 1,261.54
  5. Step 5: Solve for x
    x = 1,261.54/40.82
  6. Step 6: Final answer
    x = 30.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.