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Finding the Fourth Proportional to 414.54, 621.77 and 122.01

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Solution

The fourth proportional to 414.54, 621.77 and 122.01 is: 183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 621.77 = 122.01 : x
  2. Step 2: Convert to fraction form
    414.54/621.77 = 122.01/x
  3. Step 3: Cross multiply
    414.54x = 621.77 × 122.01
  4. Step 4: Simplify right side
    414.54x = 75,861.55
  5. Step 5: Solve for x
    x = 75,861.55/414.54
  6. Step 6: Final answer
    x = 183.00

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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.