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Finding the Fourth Proportional to 292.88, 403.92 and 226.50

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Solution

The fourth proportional to 292.88, 403.92 and 226.50 is: 312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.88 : 403.92 = 226.50 : x
  2. Step 2: Convert to fraction form
    292.88/403.92 = 226.50/x
  3. Step 3: Cross multiply
    292.88x = 403.92 × 226.50
  4. Step 4: Simplify right side
    292.88x = 91,486.37
  5. Step 5: Solve for x
    x = 91,486.37/292.88
  6. Step 6: Final answer
    x = 312.37

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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.