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Finding the Fourth Proportional to 31.09, 46.31 and 30.75

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Solution

The fourth proportional to 31.09, 46.31 and 30.75 is: 45.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.09 : 46.31 = 30.75 : x
  2. Step 2: Convert to fraction form
    31.09/46.31 = 30.75/x
  3. Step 3: Cross multiply
    31.09x = 46.31 × 30.75
  4. Step 4: Simplify right side
    31.09x = 1,424.03
  5. Step 5: Solve for x
    x = 1,424.03/31.09
  6. Step 6: Final answer
    x = 45.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.