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Finding the Fourth Proportional to 406.62, 557.48 and 396.29

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Solution

The fourth proportional to 406.62, 557.48 and 396.29 is: 543.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 557.48 = 396.29 : x
  2. Step 2: Convert to fraction form
    406.62/557.48 = 396.29/x
  3. Step 3: Cross multiply
    406.62x = 557.48 × 396.29
  4. Step 4: Simplify right side
    406.62x = 220,926.13
  5. Step 5: Solve for x
    x = 220,926.13/406.62
  6. Step 6: Final answer
    x = 543.32

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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.