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Finding the Fourth Proportional to 286.72, 429.51 and 209.85

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Solution

The fourth proportional to 286.72, 429.51 and 209.85 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.72 : 429.51 = 209.85 : x
  2. Step 2: Convert to fraction form
    286.72/429.51 = 209.85/x
  3. Step 3: Cross multiply
    286.72x = 429.51 × 209.85
  4. Step 4: Simplify right side
    286.72x = 90,132.67
  5. Step 5: Solve for x
    x = 90,132.67/286.72
  6. Step 6: Final answer
    x = 314.36

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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.