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Finding the Fourth Proportional to 412.21, 569.33 and 328.46

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Solution

The fourth proportional to 412.21, 569.33 and 328.46 is: 453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.21 : 569.33 = 328.46 : x
  2. Step 2: Convert to fraction form
    412.21/569.33 = 328.46/x
  3. Step 3: Cross multiply
    412.21x = 569.33 × 328.46
  4. Step 4: Simplify right side
    412.21x = 187,004.38
  5. Step 5: Solve for x
    x = 187,004.38/412.21
  6. Step 6: Final answer
    x = 453.67

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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.