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Finding the Fourth Proportional to 289.59, 399.68 and 163.58

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Solution

The fourth proportional to 289.59, 399.68 and 163.58 is: 225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.59 : 399.68 = 163.58 : x
  2. Step 2: Convert to fraction form
    289.59/399.68 = 163.58/x
  3. Step 3: Cross multiply
    289.59x = 399.68 × 163.58
  4. Step 4: Simplify right side
    289.59x = 65,378.84
  5. Step 5: Solve for x
    x = 65,378.84/289.59
  6. Step 6: Final answer
    x = 225.76

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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.