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Finding the Fourth Proportional to 31.69, 43.54 and 31.19

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Solution

The fourth proportional to 31.69, 43.54 and 31.19 is: 42.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.69 : 43.54 = 31.19 : x
  2. Step 2: Convert to fraction form
    31.69/43.54 = 31.19/x
  3. Step 3: Cross multiply
    31.69x = 43.54 × 31.19
  4. Step 4: Simplify right side
    31.69x = 1,357.72
  5. Step 5: Solve for x
    x = 1,357.72/31.69
  6. Step 6: Final answer
    x = 42.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.