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Finding the Fourth Proportional to 225.20, 337.40 and 197.46

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Solution

The fourth proportional to 225.20, 337.40 and 197.46 is: 295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.20 : 337.40 = 197.46 : x
  2. Step 2: Convert to fraction form
    225.20/337.40 = 197.46/x
  3. Step 3: Cross multiply
    225.20x = 337.40 × 197.46
  4. Step 4: Simplify right side
    225.20x = 66,623.00
  5. Step 5: Solve for x
    x = 66,623.00/225.20
  6. Step 6: Final answer
    x = 295.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.