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Finding the Fourth Proportional to 416.24, 621.83 and 298.17

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Solution

The fourth proportional to 416.24, 621.83 and 298.17 is: 445.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.24 : 621.83 = 298.17 : x
  2. Step 2: Convert to fraction form
    416.24/621.83 = 298.17/x
  3. Step 3: Cross multiply
    416.24x = 621.83 × 298.17
  4. Step 4: Simplify right side
    416.24x = 185,410.12
  5. Step 5: Solve for x
    x = 185,410.12/416.24
  6. Step 6: Final answer
    x = 445.44

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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.