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Finding the Fourth Proportional to 441.71, 662.63 and 153.17

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Solution

The fourth proportional to 441.71, 662.63 and 153.17 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.71 : 662.63 = 153.17 : x
  2. Step 2: Convert to fraction form
    441.71/662.63 = 153.17/x
  3. Step 3: Cross multiply
    441.71x = 662.63 × 153.17
  4. Step 4: Simplify right side
    441.71x = 101,494.27
  5. Step 5: Solve for x
    x = 101,494.27/441.71
  6. Step 6: Final answer
    x = 229.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.