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Finding the Fourth Proportional to 539.94, 809.74 and 193.22

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Solution

The fourth proportional to 539.94, 809.74 and 193.22 is: 289.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.94 : 809.74 = 193.22 : x
  2. Step 2: Convert to fraction form
    539.94/809.74 = 193.22/x
  3. Step 3: Cross multiply
    539.94x = 809.74 × 193.22
  4. Step 4: Simplify right side
    539.94x = 156,457.96
  5. Step 5: Solve for x
    x = 156,457.96/539.94
  6. Step 6: Final answer
    x = 289.77

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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.