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Finding the Fourth Proportional to 409.07, 564.53 and 234.43

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Solution

The fourth proportional to 409.07, 564.53 and 234.43 is: 323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.07 : 564.53 = 234.43 : x
  2. Step 2: Convert to fraction form
    409.07/564.53 = 234.43/x
  3. Step 3: Cross multiply
    409.07x = 564.53 × 234.43
  4. Step 4: Simplify right side
    409.07x = 132,342.77
  5. Step 5: Solve for x
    x = 132,342.77/409.07
  6. Step 6: Final answer
    x = 323.52

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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.