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Finding the Fourth Proportional to 538.27, 807.19 and 249.50

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Solution

The fourth proportional to 538.27, 807.19 and 249.50 is: 374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.27 : 807.19 = 249.50 : x
  2. Step 2: Convert to fraction form
    538.27/807.19 = 249.50/x
  3. Step 3: Cross multiply
    538.27x = 807.19 × 249.50
  4. Step 4: Simplify right side
    538.27x = 201,393.91
  5. Step 5: Solve for x
    x = 201,393.91/538.27
  6. Step 6: Final answer
    x = 374.15

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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.