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Finding the Fourth Proportional to 422.35, 632.89 and 259.77

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Solution

The fourth proportional to 422.35, 632.89 and 259.77 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.35 : 632.89 = 259.77 : x
  2. Step 2: Convert to fraction form
    422.35/632.89 = 259.77/x
  3. Step 3: Cross multiply
    422.35x = 632.89 × 259.77
  4. Step 4: Simplify right side
    422.35x = 164,405.84
  5. Step 5: Solve for x
    x = 164,405.84/422.35
  6. Step 6: Final answer
    x = 389.26

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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.