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Finding the Fourth Proportional to 374.56, 516.88 and 208.77

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Solution

The fourth proportional to 374.56, 516.88 and 208.77 is: 288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.56 : 516.88 = 208.77 : x
  2. Step 2: Convert to fraction form
    374.56/516.88 = 208.77/x
  3. Step 3: Cross multiply
    374.56x = 516.88 × 208.77
  4. Step 4: Simplify right side
    374.56x = 107,909.04
  5. Step 5: Solve for x
    x = 107,909.04/374.56
  6. Step 6: Final answer
    x = 288.10

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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.