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Finding the Fourth Proportional to 39.94, 55.25 and 32.83

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Solution

The fourth proportional to 39.94, 55.25 and 32.83 is: 45.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.94 : 55.25 = 32.83 : x
  2. Step 2: Convert to fraction form
    39.94/55.25 = 32.83/x
  3. Step 3: Cross multiply
    39.94x = 55.25 × 32.83
  4. Step 4: Simplify right side
    39.94x = 1,813.69
  5. Step 5: Solve for x
    x = 1,813.69/39.94
  6. Step 6: Final answer
    x = 45.41

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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.