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Finding the Fourth Proportional to 225.61, 310.61 and 196.50

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Solution

The fourth proportional to 225.61, 310.61 and 196.50 is: 270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.61 : 310.61 = 196.50 : x
  2. Step 2: Convert to fraction form
    225.61/310.61 = 196.50/x
  3. Step 3: Cross multiply
    225.61x = 310.61 × 196.50
  4. Step 4: Simplify right side
    225.61x = 61,034.87
  5. Step 5: Solve for x
    x = 61,034.87/225.61
  6. Step 6: Final answer
    x = 270.53

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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.