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Finding the Fourth Proportional to 286, 429.10 and 208.82

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Solution

The fourth proportional to 286, 429.10 and 208.82 is: 313.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286 : 429.10 = 208.82 : x
  2. Step 2: Convert to fraction form
    286/429.10 = 208.82/x
  3. Step 3: Cross multiply
    286x = 429.10 × 208.82
  4. Step 4: Simplify right side
    286x = 89,604.66
  5. Step 5: Solve for x
    x = 89,604.66/286
  6. Step 6: Final answer
    x = 313.30

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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.