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Finding the Fourth Proportional to 374.40, 516.67 and 208.64

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Solution

The fourth proportional to 374.40, 516.67 and 208.64 is: 287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.40 : 516.67 = 208.64 : x
  2. Step 2: Convert to fraction form
    374.40/516.67 = 208.64/x
  3. Step 3: Cross multiply
    374.40x = 516.67 × 208.64
  4. Step 4: Simplify right side
    374.40x = 107,800.11
  5. Step 5: Solve for x
    x = 107,800.11/374.40
  6. Step 6: Final answer
    x = 287.93

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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.