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Finding the Fourth Proportional to 292.42, 403.65 and 226.66

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Solution

The fourth proportional to 292.42, 403.65 and 226.66 is: 312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.42 : 403.65 = 226.66 : x
  2. Step 2: Convert to fraction form
    292.42/403.65 = 226.66/x
  3. Step 3: Cross multiply
    292.42x = 403.65 × 226.66
  4. Step 4: Simplify right side
    292.42x = 91,491.31
  5. Step 5: Solve for x
    x = 91,491.31/292.42
  6. Step 6: Final answer
    x = 312.88

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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.