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Finding the Fourth Proportional to 292.96, 438.96 and 211.42

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Solution

The fourth proportional to 292.96, 438.96 and 211.42 is: 316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.96 : 438.96 = 211.42 : x
  2. Step 2: Convert to fraction form
    292.96/438.96 = 211.42/x
  3. Step 3: Cross multiply
    292.96x = 438.96 × 211.42
  4. Step 4: Simplify right side
    292.96x = 92,804.92
  5. Step 5: Solve for x
    x = 92,804.92/292.96
  6. Step 6: Final answer
    x = 316.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.