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Finding the Fourth Proportional to 406.82, 561.41 and 229.77

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Solution

The fourth proportional to 406.82, 561.41 and 229.77 is: 317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.82 : 561.41 = 229.77 : x
  2. Step 2: Convert to fraction form
    406.82/561.41 = 229.77/x
  3. Step 3: Cross multiply
    406.82x = 561.41 × 229.77
  4. Step 4: Simplify right side
    406.82x = 128,995.18
  5. Step 5: Solve for x
    x = 128,995.18/406.82
  6. Step 6: Final answer
    x = 317.08

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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.