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Finding the Fourth Proportional to 539.55, 809.21 and 188.15

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Solution

The fourth proportional to 539.55, 809.21 and 188.15 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.55 : 809.21 = 188.15 : x
  2. Step 2: Convert to fraction form
    539.55/809.21 = 188.15/x
  3. Step 3: Cross multiply
    539.55x = 809.21 × 188.15
  4. Step 4: Simplify right side
    539.55x = 152,247.87
  5. Step 5: Solve for x
    x = 152,247.87/539.55
  6. Step 6: Final answer
    x = 282.18

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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.