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Finding the Fourth Proportional to 225.53, 311.23 and 127.31

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Solution

The fourth proportional to 225.53, 311.23 and 127.31 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.53 : 311.23 = 127.31 : x
  2. Step 2: Convert to fraction form
    225.53/311.23 = 127.31/x
  3. Step 3: Cross multiply
    225.53x = 311.23 × 127.31
  4. Step 4: Simplify right side
    225.53x = 39,622.05
  5. Step 5: Solve for x
    x = 39,622.05/225.53
  6. Step 6: Final answer
    x = 175.69

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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.