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Finding the Fourth Proportional to 462.53, 638.10 and 263.33

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Solution

The fourth proportional to 462.53, 638.10 and 263.33 is: 363.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.53 : 638.10 = 263.33 : x
  2. Step 2: Convert to fraction form
    462.53/638.10 = 263.33/x
  3. Step 3: Cross multiply
    462.53x = 638.10 × 263.33
  4. Step 4: Simplify right side
    462.53x = 168,027.68
  5. Step 5: Solve for x
    x = 168,027.68/462.53
  6. Step 6: Final answer
    x = 363.28

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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.