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Finding the Fourth Proportional to 40.05, 55.32 and 32.28

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Solution

The fourth proportional to 40.05, 55.32 and 32.28 is: 44.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.05 : 55.32 = 32.28 : x
  2. Step 2: Convert to fraction form
    40.05/55.32 = 32.28/x
  3. Step 3: Cross multiply
    40.05x = 55.32 × 32.28
  4. Step 4: Simplify right side
    40.05x = 1,785.73
  5. Step 5: Solve for x
    x = 1,785.73/40.05
  6. Step 6: Final answer
    x = 44.59

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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.