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Finding the Fourth Proportional to 468.32, 645.68 and 320.70

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Solution

The fourth proportional to 468.32, 645.68 and 320.70 is: 442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 645.68 = 320.70 : x
  2. Step 2: Convert to fraction form
    468.32/645.68 = 320.70/x
  3. Step 3: Cross multiply
    468.32x = 645.68 × 320.70
  4. Step 4: Simplify right side
    468.32x = 207,067.97
  5. Step 5: Solve for x
    x = 207,067.97/468.32
  6. Step 6: Final answer
    x = 442.15

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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.