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Finding the Fourth Proportional to 412.94, 569.84 and 226.42

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Solution

The fourth proportional to 412.94, 569.84 and 226.42 is: 312.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.94 : 569.84 = 226.42 : x
  2. Step 2: Convert to fraction form
    412.94/569.84 = 226.42/x
  3. Step 3: Cross multiply
    412.94x = 569.84 × 226.42
  4. Step 4: Simplify right side
    412.94x = 129,023.84
  5. Step 5: Solve for x
    x = 129,023.84/412.94
  6. Step 6: Final answer
    x = 312.46

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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.