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Finding the Fourth Proportional to 225.32, 311.09 and 146.75

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Solution

The fourth proportional to 225.32, 311.09 and 146.75 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 311.09 = 146.75 : x
  2. Step 2: Convert to fraction form
    225.32/311.09 = 146.75/x
  3. Step 3: Cross multiply
    225.32x = 311.09 × 146.75
  4. Step 4: Simplify right side
    225.32x = 45,650.17
  5. Step 5: Solve for x
    x = 45,650.17/225.32
  6. Step 6: Final answer
    x = 202.61

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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.