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Finding the Fourth Proportional to 224.06, 334.53 and 202.19

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Solution

The fourth proportional to 224.06, 334.53 and 202.19 is: 301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.06 : 334.53 = 202.19 : x
  2. Step 2: Convert to fraction form
    224.06/334.53 = 202.19/x
  3. Step 3: Cross multiply
    224.06x = 334.53 × 202.19
  4. Step 4: Simplify right side
    224.06x = 67,638.62
  5. Step 5: Solve for x
    x = 67,638.62/224.06
  6. Step 6: Final answer
    x = 301.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.