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Finding the Fourth Proportional to 374.23, 516.42 and 208.44

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Solution

The fourth proportional to 374.23, 516.42 and 208.44 is: 287.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.23 : 516.42 = 208.44 : x
  2. Step 2: Convert to fraction form
    374.23/516.42 = 208.44/x
  3. Step 3: Cross multiply
    374.23x = 516.42 × 208.44
  4. Step 4: Simplify right side
    374.23x = 107,642.83
  5. Step 5: Solve for x
    x = 107,642.83/374.23
  6. Step 6: Final answer
    x = 287.64

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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.