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Finding the Fourth Proportional to 31.93, 43.77 and 31.52

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Solution

The fourth proportional to 31.93, 43.77 and 31.52 is: 43.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.93 : 43.77 = 31.52 : x
  2. Step 2: Convert to fraction form
    31.93/43.77 = 31.52/x
  3. Step 3: Cross multiply
    31.93x = 43.77 × 31.52
  4. Step 4: Simplify right side
    31.93x = 1,379.74
  5. Step 5: Solve for x
    x = 1,379.74/31.93
  6. Step 6: Final answer
    x = 43.21

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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.