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Finding the Fourth Proportional to 31.80, 43.86 and 22.08

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Solution

The fourth proportional to 31.80, 43.86 and 22.08 is: 30.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.80 : 43.86 = 22.08 : x
  2. Step 2: Convert to fraction form
    31.80/43.86 = 22.08/x
  3. Step 3: Cross multiply
    31.80x = 43.86 × 22.08
  4. Step 4: Simplify right side
    31.80x = 968.43
  5. Step 5: Solve for x
    x = 968.43/31.80
  6. Step 6: Final answer
    x = 30.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.