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Finding the Fourth Proportional to 468, 645.12 and 320.40

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Solution

The fourth proportional to 468, 645.12 and 320.40 is: 441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468 : 645.12 = 320.40 : x
  2. Step 2: Convert to fraction form
    468/645.12 = 320.40/x
  3. Step 3: Cross multiply
    468x = 645.12 × 320.40
  4. Step 4: Simplify right side
    468x = 206,696.45
  5. Step 5: Solve for x
    x = 206,696.45/468
  6. Step 6: Final answer
    x = 441.66

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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.