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Finding the Fourth Proportional to 180.09, 247.95 and 165.24

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Solution

The fourth proportional to 180.09, 247.95 and 165.24 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.09 : 247.95 = 165.24 : x
  2. Step 2: Convert to fraction form
    180.09/247.95 = 165.24/x
  3. Step 3: Cross multiply
    180.09x = 247.95 × 165.24
  4. Step 4: Simplify right side
    180.09x = 40,971.26
  5. Step 5: Solve for x
    x = 40,971.26/180.09
  6. Step 6: Final answer
    x = 227.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.