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Finding the Fourth Proportional to 406.88, 558.08 and 399.84

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Solution

The fourth proportional to 406.88, 558.08 and 399.84 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 558.08 = 399.84 : x
  2. Step 2: Convert to fraction form
    406.88/558.08 = 399.84/x
  3. Step 3: Cross multiply
    406.88x = 558.08 × 399.84
  4. Step 4: Simplify right side
    406.88x = 223,142.71
  5. Step 5: Solve for x
    x = 223,142.71/406.88
  6. Step 6: Final answer
    x = 548.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.