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Finding the Fourth Proportional to 538.57, 808.03 and 213.76

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Solution

The fourth proportional to 538.57, 808.03 and 213.76 is: 320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.57 : 808.03 = 213.76 : x
  2. Step 2: Convert to fraction form
    538.57/808.03 = 213.76/x
  3. Step 3: Cross multiply
    538.57x = 808.03 × 213.76
  4. Step 4: Simplify right side
    538.57x = 172,720.45
  5. Step 5: Solve for x
    x = 172,720.45/538.57
  6. Step 6: Final answer
    x = 320.70

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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.