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Finding the Fourth Proportional to 468.36, 645.84 and 321.21

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Solution

The fourth proportional to 468.36, 645.84 and 321.21 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 645.84 = 321.21 : x
  2. Step 2: Convert to fraction form
    468.36/645.84 = 321.21/x
  3. Step 3: Cross multiply
    468.36x = 645.84 × 321.21
  4. Step 4: Simplify right side
    468.36x = 207,450.27
  5. Step 5: Solve for x
    x = 207,450.27/468.36
  6. Step 6: Final answer
    x = 442.93

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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.