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Finding the Fourth Proportional to 406.55, 561.03 and 220.04

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Solution

The fourth proportional to 406.55, 561.03 and 220.04 is: 303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.55 : 561.03 = 220.04 : x
  2. Step 2: Convert to fraction form
    406.55/561.03 = 220.04/x
  3. Step 3: Cross multiply
    406.55x = 561.03 × 220.04
  4. Step 4: Simplify right side
    406.55x = 123,447.87
  5. Step 5: Solve for x
    x = 123,447.87/406.55
  6. Step 6: Final answer
    x = 303.65

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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.