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Finding the Fourth Proportional to 329.30, 493.97 and 123.80

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Solution

The fourth proportional to 329.30, 493.97 and 123.80 is: 185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.30 : 493.97 = 123.80 : x
  2. Step 2: Convert to fraction form
    329.30/493.97 = 123.80/x
  3. Step 3: Cross multiply
    329.30x = 493.97 × 123.80
  4. Step 4: Simplify right side
    329.30x = 61,150.40
  5. Step 5: Solve for x
    x = 61,150.40/329.30
  6. Step 6: Final answer
    x = 185.70

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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.