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Finding the Fourth Proportional to 460.53, 635.38 and 263.90

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Solution

The fourth proportional to 460.53, 635.38 and 263.90 is: 364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.53 : 635.38 = 263.90 : x
  2. Step 2: Convert to fraction form
    460.53/635.38 = 263.90/x
  3. Step 3: Cross multiply
    460.53x = 635.38 × 263.90
  4. Step 4: Simplify right side
    460.53x = 167,676.78
  5. Step 5: Solve for x
    x = 167,676.78/460.53
  6. Step 6: Final answer
    x = 364.10

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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.