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Finding the Fourth Proportional to 538.92, 808.38 and 209.88

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Solution

The fourth proportional to 538.92, 808.38 and 209.88 is: 314.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.92 : 808.38 = 209.88 : x
  2. Step 2: Convert to fraction form
    538.92/808.38 = 209.88/x
  3. Step 3: Cross multiply
    538.92x = 808.38 × 209.88
  4. Step 4: Simplify right side
    538.92x = 169,662.79
  5. Step 5: Solve for x
    x = 169,662.79/538.92
  6. Step 6: Final answer
    x = 314.82

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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.