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Finding the Fourth Proportional to 225.35, 311.12 and 146.70

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Solution

The fourth proportional to 225.35, 311.12 and 146.70 is: 202.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.35 : 311.12 = 146.70 : x
  2. Step 2: Convert to fraction form
    225.35/311.12 = 146.70/x
  3. Step 3: Cross multiply
    225.35x = 311.12 × 146.70
  4. Step 4: Simplify right side
    225.35x = 45,641.30
  5. Step 5: Solve for x
    x = 45,641.30/225.35
  6. Step 6: Final answer
    x = 202.54

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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.