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Finding the Fourth Proportional to 374.87, 517.25 and 209.07

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Solution

The fourth proportional to 374.87, 517.25 and 209.07 is: 288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.87 : 517.25 = 209.07 : x
  2. Step 2: Convert to fraction form
    374.87/517.25 = 209.07/x
  3. Step 3: Cross multiply
    374.87x = 517.25 × 209.07
  4. Step 4: Simplify right side
    374.87x = 108,141.71
  5. Step 5: Solve for x
    x = 108,141.71/374.87
  6. Step 6: Final answer
    x = 288.48

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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.