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Finding the Fourth Proportional to 374.74, 517.12 and 208.95

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Solution

The fourth proportional to 374.74, 517.12 and 208.95 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.74 : 517.12 = 208.95 : x
  2. Step 2: Convert to fraction form
    374.74/517.12 = 208.95/x
  3. Step 3: Cross multiply
    374.74x = 517.12 × 208.95
  4. Step 4: Simplify right side
    374.74x = 108,052.22
  5. Step 5: Solve for x
    x = 108,052.22/374.74
  6. Step 6: Final answer
    x = 288.34

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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.