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Finding the Fourth Proportional to 538.37, 807.93 and 213.80

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Solution

The fourth proportional to 538.37, 807.93 and 213.80 is: 320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.37 : 807.93 = 213.80 : x
  2. Step 2: Convert to fraction form
    538.37/807.93 = 213.80/x
  3. Step 3: Cross multiply
    538.37x = 807.93 × 213.80
  4. Step 4: Simplify right side
    538.37x = 172,737.45
  5. Step 5: Solve for x
    x = 172,737.45/538.37
  6. Step 6: Final answer
    x = 320.86

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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.