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Finding the Fourth Proportional to 327.16, 491.06 and 173.06

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Solution

The fourth proportional to 327.16, 491.06 and 173.06 is: 259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.16 : 491.06 = 173.06 : x
  2. Step 2: Convert to fraction form
    327.16/491.06 = 173.06/x
  3. Step 3: Cross multiply
    327.16x = 491.06 × 173.06
  4. Step 4: Simplify right side
    327.16x = 84,980.82
  5. Step 5: Solve for x
    x = 84,980.82/327.16
  6. Step 6: Final answer
    x = 259.76

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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.