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Finding the Fourth Proportional to 288.44, 397.72 and 213.86

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Solution

The fourth proportional to 288.44, 397.72 and 213.86 is: 294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.44 : 397.72 = 213.86 : x
  2. Step 2: Convert to fraction form
    288.44/397.72 = 213.86/x
  3. Step 3: Cross multiply
    288.44x = 397.72 × 213.86
  4. Step 4: Simplify right side
    288.44x = 85,056.40
  5. Step 5: Solve for x
    x = 85,056.40/288.44
  6. Step 6: Final answer
    x = 294.88

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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.