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Finding the Fourth Proportional to 422.13, 632.79 and 259.86

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Solution

The fourth proportional to 422.13, 632.79 and 259.86 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.13 : 632.79 = 259.86 : x
  2. Step 2: Convert to fraction form
    422.13/632.79 = 259.86/x
  3. Step 3: Cross multiply
    422.13x = 632.79 × 259.86
  4. Step 4: Simplify right side
    422.13x = 164,436.81
  5. Step 5: Solve for x
    x = 164,436.81/422.13
  6. Step 6: Final answer
    x = 389.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.