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Finding the Fourth Proportional to 450.25, 675.31 and 142.13

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Solution

The fourth proportional to 450.25, 675.31 and 142.13 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.25 : 675.31 = 142.13 : x
  2. Step 2: Convert to fraction form
    450.25/675.31 = 142.13/x
  3. Step 3: Cross multiply
    450.25x = 675.31 × 142.13
  4. Step 4: Simplify right side
    450.25x = 95,980.97
  5. Step 5: Solve for x
    x = 95,980.97/450.25
  6. Step 6: Final answer
    x = 213.17

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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.