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Finding the Fourth Proportional to 412.84, 569.73 and 226.34

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Solution

The fourth proportional to 412.84, 569.73 and 226.34 is: 312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.84 : 569.73 = 226.34 : x
  2. Step 2: Convert to fraction form
    412.84/569.73 = 226.34/x
  3. Step 3: Cross multiply
    412.84x = 569.73 × 226.34
  4. Step 4: Simplify right side
    412.84x = 128,952.69
  5. Step 5: Solve for x
    x = 128,952.69/412.84
  6. Step 6: Final answer
    x = 312.36

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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.