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Finding the Fourth Proportional to 374.71, 517.09 and 208.92

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Solution

The fourth proportional to 374.71, 517.09 and 208.92 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.71 : 517.09 = 208.92 : x
  2. Step 2: Convert to fraction form
    374.71/517.09 = 208.92/x
  3. Step 3: Cross multiply
    374.71x = 517.09 × 208.92
  4. Step 4: Simplify right side
    374.71x = 108,029.67
  5. Step 5: Solve for x
    x = 108,029.67/374.71
  6. Step 6: Final answer
    x = 288.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.