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Finding the Fourth Proportional to 225.28, 310.89 and 127.05

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Solution

The fourth proportional to 225.28, 310.89 and 127.05 is: 175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.28 : 310.89 = 127.05 : x
  2. Step 2: Convert to fraction form
    225.28/310.89 = 127.05/x
  3. Step 3: Cross multiply
    225.28x = 310.89 × 127.05
  4. Step 4: Simplify right side
    225.28x = 39,498.92
  5. Step 5: Solve for x
    x = 39,498.92/225.28
  6. Step 6: Final answer
    x = 175.33

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