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Finding the Fourth Proportional to 409.12, 564.61 and 234.52

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Solution

The fourth proportional to 409.12, 564.61 and 234.52 is: 323.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.12 : 564.61 = 234.52 : x
  2. Step 2: Convert to fraction form
    409.12/564.61 = 234.52/x
  3. Step 3: Cross multiply
    409.12x = 564.61 × 234.52
  4. Step 4: Simplify right side
    409.12x = 132,412.34
  5. Step 5: Solve for x
    x = 132,412.34/409.12
  6. Step 6: Final answer
    x = 323.65

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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.