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Finding the Fourth Proportional to 224.96, 310.46 and 137.56

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Solution

The fourth proportional to 224.96, 310.46 and 137.56 is: 189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 310.46 = 137.56 : x
  2. Step 2: Convert to fraction form
    224.96/310.46 = 137.56/x
  3. Step 3: Cross multiply
    224.96x = 310.46 × 137.56
  4. Step 4: Simplify right side
    224.96x = 42,706.88
  5. Step 5: Solve for x
    x = 42,706.88/224.96
  6. Step 6: Final answer
    x = 189.84

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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.