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Finding the Fourth Proportional to 534.27, 800.37 and 302.44

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Solution

The fourth proportional to 534.27, 800.37 and 302.44 is: 453.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.27 : 800.37 = 302.44 : x
  2. Step 2: Convert to fraction form
    534.27/800.37 = 302.44/x
  3. Step 3: Cross multiply
    534.27x = 800.37 × 302.44
  4. Step 4: Simplify right side
    534.27x = 242,062.39
  5. Step 5: Solve for x
    x = 242,062.39/534.27
  6. Step 6: Final answer
    x = 453.07

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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.