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Finding the Fourth Proportional to 416.20, 623.55 and 330.10

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Solution

The fourth proportional to 416.20, 623.55 and 330.10 is: 494.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.20 : 623.55 = 330.10 : x
  2. Step 2: Convert to fraction form
    416.20/623.55 = 330.10/x
  3. Step 3: Cross multiply
    416.20x = 623.55 × 330.10
  4. Step 4: Simplify right side
    416.20x = 205,833.86
  5. Step 5: Solve for x
    x = 205,833.86/416.20
  6. Step 6: Final answer
    x = 494.56

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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.