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Finding the Fourth Proportional to 329.18, 492.51 and 192.29

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Solution

The fourth proportional to 329.18, 492.51 and 192.29 is: 287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.18 : 492.51 = 192.29 : x
  2. Step 2: Convert to fraction form
    329.18/492.51 = 192.29/x
  3. Step 3: Cross multiply
    329.18x = 492.51 × 192.29
  4. Step 4: Simplify right side
    329.18x = 94,704.75
  5. Step 5: Solve for x
    x = 94,704.75/329.18
  6. Step 6: Final answer
    x = 287.70

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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.