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Finding the Fourth Proportional to 412.34, 569.04 and 235.33

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Solution

The fourth proportional to 412.34, 569.04 and 235.33 is: 324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 569.04 = 235.33 : x
  2. Step 2: Convert to fraction form
    412.34/569.04 = 235.33/x
  3. Step 3: Cross multiply
    412.34x = 569.04 × 235.33
  4. Step 4: Simplify right side
    412.34x = 133,912.18
  5. Step 5: Solve for x
    x = 133,912.18/412.34
  6. Step 6: Final answer
    x = 324.76

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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.