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Finding the Fourth Proportional to 538.31, 807.93 and 213.91

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Solution

The fourth proportional to 538.31, 807.93 and 213.91 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.31 : 807.93 = 213.91 : x
  2. Step 2: Convert to fraction form
    538.31/807.93 = 213.91/x
  3. Step 3: Cross multiply
    538.31x = 807.93 × 213.91
  4. Step 4: Simplify right side
    538.31x = 172,822.29
  5. Step 5: Solve for x
    x = 172,822.29/538.31
  6. Step 6: Final answer
    x = 321.04

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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.