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Finding the Fourth Proportional to 468.32, 646.14 and 320.96

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Solution

The fourth proportional to 468.32, 646.14 and 320.96 is: 442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.32 : 646.14 = 320.96 : x
  2. Step 2: Convert to fraction form
    468.32/646.14 = 320.96/x
  3. Step 3: Cross multiply
    468.32x = 646.14 × 320.96
  4. Step 4: Simplify right side
    468.32x = 207,385.09
  5. Step 5: Solve for x
    x = 207,385.09/468.32
  6. Step 6: Final answer
    x = 442.83

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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.