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Finding the Fourth Proportional to 460.21, 635.31 and 320.80

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Solution

The fourth proportional to 460.21, 635.31 and 320.80 is: 442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.21 : 635.31 = 320.80 : x
  2. Step 2: Convert to fraction form
    460.21/635.31 = 320.80/x
  3. Step 3: Cross multiply
    460.21x = 635.31 × 320.80
  4. Step 4: Simplify right side
    460.21x = 203,807.45
  5. Step 5: Solve for x
    x = 203,807.45/460.21
  6. Step 6: Final answer
    x = 442.86

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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.