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Finding the Fourth Proportional to 422.14, 632.80 and 133.51

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Solution

The fourth proportional to 422.14, 632.80 and 133.51 is: 200.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.14 : 632.80 = 133.51 : x
  2. Step 2: Convert to fraction form
    422.14/632.80 = 133.51/x
  3. Step 3: Cross multiply
    422.14x = 632.80 × 133.51
  4. Step 4: Simplify right side
    422.14x = 84,485.13
  5. Step 5: Solve for x
    x = 84,485.13/422.14
  6. Step 6: Final answer
    x = 200.14

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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.