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Finding the Fourth Proportional to 292.17, 436.72 and 226.56

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Solution

The fourth proportional to 292.17, 436.72 and 226.56 is: 338.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 436.72 = 226.56 : x
  2. Step 2: Convert to fraction form
    292.17/436.72 = 226.56/x
  3. Step 3: Cross multiply
    292.17x = 436.72 × 226.56
  4. Step 4: Simplify right side
    292.17x = 98,942.30
  5. Step 5: Solve for x
    x = 98,942.30/292.17
  6. Step 6: Final answer
    x = 338.65

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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.