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Finding the Fourth Proportional to 534.72, 737.83 and 301.80

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Solution

The fourth proportional to 534.72, 737.83 and 301.80 is: 416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.72 : 737.83 = 301.80 : x
  2. Step 2: Convert to fraction form
    534.72/737.83 = 301.80/x
  3. Step 3: Cross multiply
    534.72x = 737.83 × 301.80
  4. Step 4: Simplify right side
    534.72x = 222,677.09
  5. Step 5: Solve for x
    x = 222,677.09/534.72
  6. Step 6: Final answer
    x = 416.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.