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Finding the Fourth Proportional to 399.18, 550.06 and 305.94

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Solution

The fourth proportional to 399.18, 550.06 and 305.94 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.18 : 550.06 = 305.94 : x
  2. Step 2: Convert to fraction form
    399.18/550.06 = 305.94/x
  3. Step 3: Cross multiply
    399.18x = 550.06 × 305.94
  4. Step 4: Simplify right side
    399.18x = 168,285.36
  5. Step 5: Solve for x
    x = 168,285.36/399.18
  6. Step 6: Final answer
    x = 421.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.