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Finding the Fourth Proportional to 72.24, 108.40 and 36.20

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Solution

The fourth proportional to 72.24, 108.40 and 36.20 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.24 : 108.40 = 36.20 : x
  2. Step 2: Convert to fraction form
    72.24/108.40 = 36.20/x
  3. Step 3: Cross multiply
    72.24x = 108.40 × 36.20
  4. Step 4: Simplify right side
    72.24x = 3,924.08
  5. Step 5: Solve for x
    x = 3,924.08/72.24
  6. Step 6: Final answer
    x = 54.32

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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.