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Finding the Fourth Proportional to 422.16, 632.96 and 259.80

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Solution

The fourth proportional to 422.16, 632.96 and 259.80 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.16 : 632.96 = 259.80 : x
  2. Step 2: Convert to fraction form
    422.16/632.96 = 259.80/x
  3. Step 3: Cross multiply
    422.16x = 632.96 × 259.80
  4. Step 4: Simplify right side
    422.16x = 164,443.01
  5. Step 5: Solve for x
    x = 164,443.01/422.16
  6. Step 6: Final answer
    x = 389.53

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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.