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Finding the Fourth Proportional to 412.73, 569.54 and 233.27

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Solution

The fourth proportional to 412.73, 569.54 and 233.27 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.73 : 569.54 = 233.27 : x
  2. Step 2: Convert to fraction form
    412.73/569.54 = 233.27/x
  3. Step 3: Cross multiply
    412.73x = 569.54 × 233.27
  4. Step 4: Simplify right side
    412.73x = 132,854.31
  5. Step 5: Solve for x
    x = 132,854.31/412.73
  6. Step 6: Final answer
    x = 321.89

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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.