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Finding the Fourth Proportional to 291.86, 402.39 and 213.11

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Solution

The fourth proportional to 291.86, 402.39 and 213.11 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.86 : 402.39 = 213.11 : x
  2. Step 2: Convert to fraction form
    291.86/402.39 = 213.11/x
  3. Step 3: Cross multiply
    291.86x = 402.39 × 213.11
  4. Step 4: Simplify right side
    291.86x = 85,751.32
  5. Step 5: Solve for x
    x = 85,751.32/291.86
  6. Step 6: Final answer
    x = 293.81

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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.