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Finding the Fourth Proportional to 286.42, 429.84 and 209.61

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Solution

The fourth proportional to 286.42, 429.84 and 209.61 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.42 : 429.84 = 209.61 : x
  2. Step 2: Convert to fraction form
    286.42/429.84 = 209.61/x
  3. Step 3: Cross multiply
    286.42x = 429.84 × 209.61
  4. Step 4: Simplify right side
    286.42x = 90,098.76
  5. Step 5: Solve for x
    x = 90,098.76/286.42
  6. Step 6: Final answer
    x = 314.57

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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.