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Finding the Fourth Proportional to 329.13, 493.37 and 123.57

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Solution

The fourth proportional to 329.13, 493.37 and 123.57 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.13 : 493.37 = 123.57 : x
  2. Step 2: Convert to fraction form
    329.13/493.37 = 123.57/x
  3. Step 3: Cross multiply
    329.13x = 493.37 × 123.57
  4. Step 4: Simplify right side
    329.13x = 60,965.11
  5. Step 5: Solve for x
    x = 60,965.11/329.13
  6. Step 6: Final answer
    x = 185.23

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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.