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Finding the Fourth Proportional to 31.23, 47.01 and 28.44

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Solution

The fourth proportional to 31.23, 47.01 and 28.44 is: 42.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.23 : 47.01 = 28.44 : x
  2. Step 2: Convert to fraction form
    31.23/47.01 = 28.44/x
  3. Step 3: Cross multiply
    31.23x = 47.01 × 28.44
  4. Step 4: Simplify right side
    31.23x = 1,336.96
  5. Step 5: Solve for x
    x = 1,336.96/31.23
  6. Step 6: Final answer
    x = 42.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.