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Finding the Fourth Proportional to 539.69, 809.52 and 210.78

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Solution

The fourth proportional to 539.69, 809.52 and 210.78 is: 316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.69 : 809.52 = 210.78 : x
  2. Step 2: Convert to fraction form
    539.69/809.52 = 210.78/x
  3. Step 3: Cross multiply
    539.69x = 809.52 × 210.78
  4. Step 4: Simplify right side
    539.69x = 170,630.63
  5. Step 5: Solve for x
    x = 170,630.63/539.69
  6. Step 6: Final answer
    x = 316.17

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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.