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Finding the Fourth Proportional to 374.75, 517.08 and 208.95

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Solution

The fourth proportional to 374.75, 517.08 and 208.95 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.75 : 517.08 = 208.95 : x
  2. Step 2: Convert to fraction form
    374.75/517.08 = 208.95/x
  3. Step 3: Cross multiply
    374.75x = 517.08 × 208.95
  4. Step 4: Simplify right side
    374.75x = 108,042.82
  5. Step 5: Solve for x
    x = 108,042.82/374.75
  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.