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Finding the Fourth Proportional to 31.65, 43.86 and 31.28

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Solution

The fourth proportional to 31.65, 43.86 and 31.28 is: 43.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.65 : 43.86 = 31.28 : x
  2. Step 2: Convert to fraction form
    31.65/43.86 = 31.28/x
  3. Step 3: Cross multiply
    31.65x = 43.86 × 31.28
  4. Step 4: Simplify right side
    31.65x = 1,371.72
  5. Step 5: Solve for x
    x = 1,371.72/31.65
  6. Step 6: Final answer
    x = 43.34

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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.