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Finding the Fourth Proportional to 406.97, 559.94 and 357.76

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Solution

The fourth proportional to 406.97, 559.94 and 357.76 is: 492.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.97 : 559.94 = 357.76 : x
  2. Step 2: Convert to fraction form
    406.97/559.94 = 357.76/x
  3. Step 3: Cross multiply
    406.97x = 559.94 × 357.76
  4. Step 4: Simplify right side
    406.97x = 200,320.95
  5. Step 5: Solve for x
    x = 200,320.95/406.97
  6. Step 6: Final answer
    x = 492.23

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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.