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Finding the Fourth Proportional to 575.29, 862.83 and 209.98

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Solution

The fourth proportional to 575.29, 862.83 and 209.98 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.29 : 862.83 = 209.98 : x
  2. Step 2: Convert to fraction form
    575.29/862.83 = 209.98/x
  3. Step 3: Cross multiply
    575.29x = 862.83 × 209.98
  4. Step 4: Simplify right side
    575.29x = 181,177.04
  5. Step 5: Solve for x
    x = 181,177.04/575.29
  6. Step 6: Final answer
    x = 314.93

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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.