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Finding the Fourth Proportional to 468.23, 645.68 and 328.31

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Solution

The fourth proportional to 468.23, 645.68 and 328.31 is: 452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.23 : 645.68 = 328.31 : x
  2. Step 2: Convert to fraction form
    468.23/645.68 = 328.31/x
  3. Step 3: Cross multiply
    468.23x = 645.68 × 328.31
  4. Step 4: Simplify right side
    468.23x = 211,978.33
  5. Step 5: Solve for x
    x = 211,978.33/468.23
  6. Step 6: Final answer
    x = 452.72

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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.