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Finding the Fourth Proportional to 406.60, 557.52 and 396.88

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Solution

The fourth proportional to 406.60, 557.52 and 396.88 is: 544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 557.52 = 396.88 : x
  2. Step 2: Convert to fraction form
    406.60/557.52 = 396.88/x
  3. Step 3: Cross multiply
    406.60x = 557.52 × 396.88
  4. Step 4: Simplify right side
    406.60x = 221,268.54
  5. Step 5: Solve for x
    x = 221,268.54/406.60
  6. Step 6: Final answer
    x = 544.19

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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.