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Finding the Fourth Proportional to 289.32, 399 and 211.56

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Solution

The fourth proportional to 289.32, 399 and 211.56 is: 291.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.32 : 399 = 211.56 : x
  2. Step 2: Convert to fraction form
    289.32/399 = 211.56/x
  3. Step 3: Cross multiply
    289.32x = 399 × 211.56
  4. Step 4: Simplify right side
    289.32x = 84,412.44
  5. Step 5: Solve for x
    x = 84,412.44/289.32
  6. Step 6: Final answer
    x = 291.76

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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.