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Finding the Fourth Proportional to 79.33, 109.43 and 48.23

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Solution

The fourth proportional to 79.33, 109.43 and 48.23 is: 66.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.33 : 109.43 = 48.23 : x
  2. Step 2: Convert to fraction form
    79.33/109.43 = 48.23/x
  3. Step 3: Cross multiply
    79.33x = 109.43 × 48.23
  4. Step 4: Simplify right side
    79.33x = 5,277.84
  5. Step 5: Solve for x
    x = 5,277.84/79.33
  6. Step 6: Final answer
    x = 66.53

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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.