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Finding the Fourth Proportional to 574.12, 860.14 and 208.66

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Solution

The fourth proportional to 574.12, 860.14 and 208.66 is: 312.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.12 : 860.14 = 208.66 : x
  2. Step 2: Convert to fraction form
    574.12/860.14 = 208.66/x
  3. Step 3: Cross multiply
    574.12x = 860.14 × 208.66
  4. Step 4: Simplify right side
    574.12x = 179,476.81
  5. Step 5: Solve for x
    x = 179,476.81/574.12
  6. Step 6: Final answer
    x = 312.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.