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Finding the Fourth Proportional to 539.11, 808.14 and 173.65

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Solution

The fourth proportional to 539.11, 808.14 and 173.65 is: 260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.11 : 808.14 = 173.65 : x
  2. Step 2: Convert to fraction form
    539.11/808.14 = 173.65/x
  3. Step 3: Cross multiply
    539.11x = 808.14 × 173.65
  4. Step 4: Simplify right side
    539.11x = 140,333.51
  5. Step 5: Solve for x
    x = 140,333.51/539.11
  6. Step 6: Final answer
    x = 260.31

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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.