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Finding the Fourth Proportional to 289.42, 399.13 and 223.81

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Solution

The fourth proportional to 289.42, 399.13 and 223.81 is: 308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.42 : 399.13 = 223.81 : x
  2. Step 2: Convert to fraction form
    289.42/399.13 = 223.81/x
  3. Step 3: Cross multiply
    289.42x = 399.13 × 223.81
  4. Step 4: Simplify right side
    289.42x = 89,329.29
  5. Step 5: Solve for x
    x = 89,329.29/289.42
  6. Step 6: Final answer
    x = 308.65

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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.