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Finding the Fourth Proportional to 412.36, 567.12 and 328.48

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Solution

The fourth proportional to 412.36, 567.12 and 328.48 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.36 : 567.12 = 328.48 : x
  2. Step 2: Convert to fraction form
    412.36/567.12 = 328.48/x
  3. Step 3: Cross multiply
    412.36x = 567.12 × 328.48
  4. Step 4: Simplify right side
    412.36x = 186,287.58
  5. Step 5: Solve for x
    x = 186,287.58/412.36
  6. Step 6: Final answer
    x = 451.76

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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.