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Finding the Fourth Proportional to 429.27, 643.46 and 209.57

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Solution

The fourth proportional to 429.27, 643.46 and 209.57 is: 314.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.27 : 643.46 = 209.57 : x
  2. Step 2: Convert to fraction form
    429.27/643.46 = 209.57/x
  3. Step 3: Cross multiply
    429.27x = 643.46 × 209.57
  4. Step 4: Simplify right side
    429.27x = 134,845.65
  5. Step 5: Solve for x
    x = 134,845.65/429.27
  6. Step 6: Final answer
    x = 314.13

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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.