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Finding the Fourth Proportional to 374.51, 516.86 and 208.78

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Solution

The fourth proportional to 374.51, 516.86 and 208.78 is: 288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.51 : 516.86 = 208.78 : x
  2. Step 2: Convert to fraction form
    374.51/516.86 = 208.78/x
  3. Step 3: Cross multiply
    374.51x = 516.86 × 208.78
  4. Step 4: Simplify right side
    374.51x = 107,909.26
  5. Step 5: Solve for x
    x = 107,909.26/374.51
  6. Step 6: Final answer
    x = 288.13

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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.