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Finding the Fourth Proportional to 53.22, 79.83 and 19.02

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Solution

The fourth proportional to 53.22, 79.83 and 19.02 is: 28.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.22 : 79.83 = 19.02 : x
  2. Step 2: Convert to fraction form
    53.22/79.83 = 19.02/x
  3. Step 3: Cross multiply
    53.22x = 79.83 × 19.02
  4. Step 4: Simplify right side
    53.22x = 1,518.37
  5. Step 5: Solve for x
    x = 1,518.37/53.22
  6. Step 6: Final answer
    x = 28.53

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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.