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Finding the Fourth Proportional to 224.94, 338.63 and 202.61

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Solution

The fourth proportional to 224.94, 338.63 and 202.61 is: 305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 338.63 = 202.61 : x
  2. Step 2: Convert to fraction form
    224.94/338.63 = 202.61/x
  3. Step 3: Cross multiply
    224.94x = 338.63 × 202.61
  4. Step 4: Simplify right side
    224.94x = 68,609.82
  5. Step 5: Solve for x
    x = 68,609.82/224.94
  6. Step 6: Final answer
    x = 305.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.