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Finding the Fourth Proportional to 406.08, 559.68 and 360.84

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Solution

The fourth proportional to 406.08, 559.68 and 360.84 is: 497.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.08 : 559.68 = 360.84 : x
  2. Step 2: Convert to fraction form
    406.08/559.68 = 360.84/x
  3. Step 3: Cross multiply
    406.08x = 559.68 × 360.84
  4. Step 4: Simplify right side
    406.08x = 201,954.93
  5. Step 5: Solve for x
    x = 201,954.93/406.08
  6. Step 6: Final answer
    x = 497.33

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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.