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Finding the Fourth Proportional to 329.77, 492.68 and 255.15

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Solution

The fourth proportional to 329.77, 492.68 and 255.15 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.77 : 492.68 = 255.15 : x
  2. Step 2: Convert to fraction form
    329.77/492.68 = 255.15/x
  3. Step 3: Cross multiply
    329.77x = 492.68 × 255.15
  4. Step 4: Simplify right side
    329.77x = 125,707.94
  5. Step 5: Solve for x
    x = 125,707.94/329.77
  6. Step 6: Final answer
    x = 381.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.