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Finding the Fourth Proportional to 40.54, 55.85 and 28.23

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Solution

The fourth proportional to 40.54, 55.85 and 28.23 is: 38.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.54 : 55.85 = 28.23 : x
  2. Step 2: Convert to fraction form
    40.54/55.85 = 28.23/x
  3. Step 3: Cross multiply
    40.54x = 55.85 × 28.23
  4. Step 4: Simplify right side
    40.54x = 1,576.71
  5. Step 5: Solve for x
    x = 1,576.71/40.54
  6. Step 6: Final answer
    x = 38.90

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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.