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Finding the Fourth Proportional to 460.24, 634.80 and 320.41

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Solution

The fourth proportional to 460.24, 634.80 and 320.41 is: 441.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.24 : 634.80 = 320.41 : x
  2. Step 2: Convert to fraction form
    460.24/634.80 = 320.41/x
  3. Step 3: Cross multiply
    460.24x = 634.80 × 320.41
  4. Step 4: Simplify right side
    460.24x = 203,394.09
  5. Step 5: Solve for x
    x = 203,394.09/460.24
  6. Step 6: Final answer
    x = 441.93

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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.