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Finding the Fourth Proportional to 416.16, 621.96 and 329.76

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Solution

The fourth proportional to 416.16, 621.96 and 329.76 is: 492.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.16 : 621.96 = 329.76 : x
  2. Step 2: Convert to fraction form
    416.16/621.96 = 329.76/x
  3. Step 3: Cross multiply
    416.16x = 621.96 × 329.76
  4. Step 4: Simplify right side
    416.16x = 205,097.53
  5. Step 5: Solve for x
    x = 205,097.53/416.16
  6. Step 6: Final answer
    x = 492.83

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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.