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Finding the Fourth Proportional to 337.56, 465.72 and 219.63

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Solution

The fourth proportional to 337.56, 465.72 and 219.63 is: 303.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.56 : 465.72 = 219.63 : x
  2. Step 2: Convert to fraction form
    337.56/465.72 = 219.63/x
  3. Step 3: Cross multiply
    337.56x = 465.72 × 219.63
  4. Step 4: Simplify right side
    337.56x = 102,286.08
  5. Step 5: Solve for x
    x = 102,286.08/337.56
  6. Step 6: Final answer
    x = 303.02

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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.