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Finding the Fourth Proportional to 406.88, 563.04 and 355.28

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Solution

The fourth proportional to 406.88, 563.04 and 355.28 is: 491.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 563.04 = 355.28 : x
  2. Step 2: Convert to fraction form
    406.88/563.04 = 355.28/x
  3. Step 3: Cross multiply
    406.88x = 563.04 × 355.28
  4. Step 4: Simplify right side
    406.88x = 200,036.85
  5. Step 5: Solve for x
    x = 200,036.85/406.88
  6. Step 6: Final answer
    x = 491.64

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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.