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Finding the Fourth Proportional to 225.31, 310.94 and 132.03

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Solution

The fourth proportional to 225.31, 310.94 and 132.03 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.31 : 310.94 = 132.03 : x
  2. Step 2: Convert to fraction form
    225.31/310.94 = 132.03/x
  3. Step 3: Cross multiply
    225.31x = 310.94 × 132.03
  4. Step 4: Simplify right side
    225.31x = 41,053.74
  5. Step 5: Solve for x
    x = 41,053.74/225.31
  6. Step 6: Final answer
    x = 182.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.