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Finding the Fourth Proportional to 289.56, 399.49 and 165.13

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Solution

The fourth proportional to 289.56, 399.49 and 165.13 is: 227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.56 : 399.49 = 165.13 : x
  2. Step 2: Convert to fraction form
    289.56/399.49 = 165.13/x
  3. Step 3: Cross multiply
    289.56x = 399.49 × 165.13
  4. Step 4: Simplify right side
    289.56x = 65,966.37
  5. Step 5: Solve for x
    x = 65,966.37/289.56
  6. Step 6: Final answer
    x = 227.82

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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.