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Finding the Fourth Proportional to 224.72, 310.08 and 196.98

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Solution

The fourth proportional to 224.72, 310.08 and 196.98 is: 271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.72 : 310.08 = 196.98 : x
  2. Step 2: Convert to fraction form
    224.72/310.08 = 196.98/x
  3. Step 3: Cross multiply
    224.72x = 310.08 × 196.98
  4. Step 4: Simplify right side
    224.72x = 61,079.56
  5. Step 5: Solve for x
    x = 61,079.56/224.72
  6. Step 6: Final answer
    x = 271.80

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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.