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Finding the Fourth Proportional to 575.09, 862.39 and 209.98

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Solution

The fourth proportional to 575.09, 862.39 and 209.98 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.09 : 862.39 = 209.98 : x
  2. Step 2: Convert to fraction form
    575.09/862.39 = 209.98/x
  3. Step 3: Cross multiply
    575.09x = 862.39 × 209.98
  4. Step 4: Simplify right side
    575.09x = 181,084.65
  5. Step 5: Solve for x
    x = 181,084.65/575.09
  6. Step 6: Final answer
    x = 314.88

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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.