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Finding the Fourth Proportional to 292.82, 403.70 and 226.53

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Solution

The fourth proportional to 292.82, 403.70 and 226.53 is: 312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.82 : 403.70 = 226.53 : x
  2. Step 2: Convert to fraction form
    292.82/403.70 = 226.53/x
  3. Step 3: Cross multiply
    292.82x = 403.70 × 226.53
  4. Step 4: Simplify right side
    292.82x = 91,449.03
  5. Step 5: Solve for x
    x = 91,449.03/292.82
  6. Step 6: Final answer
    x = 312.31

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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.