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Finding the Fourth Proportional to 429.14, 643.20 and 168.83

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Solution

The fourth proportional to 429.14, 643.20 and 168.83 is: 253.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 643.20 = 168.83 : x
  2. Step 2: Convert to fraction form
    429.14/643.20 = 168.83/x
  3. Step 3: Cross multiply
    429.14x = 643.20 × 168.83
  4. Step 4: Simplify right side
    429.14x = 108,591.46
  5. Step 5: Solve for x
    x = 108,591.46/429.14
  6. Step 6: Final answer
    x = 253.04

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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.