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Finding the Fourth Proportional to 406.11, 559.98 and 288.12

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Solution

The fourth proportional to 406.11, 559.98 and 288.12 is: 397.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.11 : 559.98 = 288.12 : x
  2. Step 2: Convert to fraction form
    406.11/559.98 = 288.12/x
  3. Step 3: Cross multiply
    406.11x = 559.98 × 288.12
  4. Step 4: Simplify right side
    406.11x = 161,343.54
  5. Step 5: Solve for x
    x = 161,343.54/406.11
  6. Step 6: Final answer
    x = 397.29

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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.