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Finding the Fourth Proportional to 539.61, 809.52 and 210.55

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Solution

The fourth proportional to 539.61, 809.52 and 210.55 is: 315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.61 : 809.52 = 210.55 : x
  2. Step 2: Convert to fraction form
    539.61/809.52 = 210.55/x
  3. Step 3: Cross multiply
    539.61x = 809.52 × 210.55
  4. Step 4: Simplify right side
    539.61x = 170,444.44
  5. Step 5: Solve for x
    x = 170,444.44/539.61
  6. Step 6: Final answer
    x = 315.87

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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.