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Finding the Fourth Proportional to 412.84, 569.72 and 226.33

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Solution

The fourth proportional to 412.84, 569.72 and 226.33 is: 312.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.72 = 226.33 : x
  2. Step 2: Convert to fraction form
    412.84/569.72 = 226.33/x
  3. Step 3: Cross multiply
    412.84x = 569.72 × 226.33
  4. Step 4: Simplify right side
    412.84x = 128,944.73
  5. Step 5: Solve for x
    x = 128,944.73/412.84
  6. Step 6: Final answer
    x = 312.34

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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.