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Finding the Fourth Proportional to 314.31, 433.81 and 289.61

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Solution

The fourth proportional to 314.31, 433.81 and 289.61 is: 399.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.31 : 433.81 = 289.61 : x
  2. Step 2: Convert to fraction form
    314.31/433.81 = 289.61/x
  3. Step 3: Cross multiply
    314.31x = 433.81 × 289.61
  4. Step 4: Simplify right side
    314.31x = 125,633.90
  5. Step 5: Solve for x
    x = 125,633.90/314.31
  6. Step 6: Final answer
    x = 399.71

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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.