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Finding the Fourth Proportional to 468.36, 645.66 and 328.04

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Solution

The fourth proportional to 468.36, 645.66 and 328.04 is: 452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 645.66 = 328.04 : x
  2. Step 2: Convert to fraction form
    468.36/645.66 = 328.04/x
  3. Step 3: Cross multiply
    468.36x = 645.66 × 328.04
  4. Step 4: Simplify right side
    468.36x = 211,802.31
  5. Step 5: Solve for x
    x = 211,802.31/468.36
  6. Step 6: Final answer
    x = 452.22

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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.