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Finding the Fourth Proportional to 23.08, 31.93 and 22.24

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Solution

The fourth proportional to 23.08, 31.93 and 22.24 is: 30.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.08 : 31.93 = 22.24 : x
  2. Step 2: Convert to fraction form
    23.08/31.93 = 22.24/x
  3. Step 3: Cross multiply
    23.08x = 31.93 × 22.24
  4. Step 4: Simplify right side
    23.08x = 709.99
  5. Step 5: Solve for x
    x = 709.99/23.08
  6. Step 6: Final answer
    x = 30.77

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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.