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Finding the Fourth Proportional to 32.82, 45.48 and 31.92

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Solution

The fourth proportional to 32.82, 45.48 and 31.92 is: 44.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.82 : 45.48 = 31.92 : x
  2. Step 2: Convert to fraction form
    32.82/45.48 = 31.92/x
  3. Step 3: Cross multiply
    32.82x = 45.48 × 31.92
  4. Step 4: Simplify right side
    32.82x = 1,451.72
  5. Step 5: Solve for x
    x = 1,451.72/32.82
  6. Step 6: Final answer
    x = 44.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.