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Finding the Fourth Proportional to 72.24, 108.38 and 23.50

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Solution

The fourth proportional to 72.24, 108.38 and 23.50 is: 35.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.24 : 108.38 = 23.50 : x
  2. Step 2: Convert to fraction form
    72.24/108.38 = 23.50/x
  3. Step 3: Cross multiply
    72.24x = 108.38 × 23.50
  4. Step 4: Simplify right side
    72.24x = 2,546.93
  5. Step 5: Solve for x
    x = 2,546.93/72.24
  6. Step 6: Final answer
    x = 35.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.