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Finding the Fourth Proportional to 329.07, 493.45 and 123.63

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Solution

The fourth proportional to 329.07, 493.45 and 123.63 is: 185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 493.45 = 123.63 : x
  2. Step 2: Convert to fraction form
    329.07/493.45 = 123.63/x
  3. Step 3: Cross multiply
    329.07x = 493.45 × 123.63
  4. Step 4: Simplify right side
    329.07x = 61,004.61
  5. Step 5: Solve for x
    x = 61,004.61/329.07
  6. Step 6: Final answer
    x = 185.39

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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.