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Finding the Fourth Proportional to 183.68, 253.52 and 118.24

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Solution

The fourth proportional to 183.68, 253.52 and 118.24 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.68 : 253.52 = 118.24 : x
  2. Step 2: Convert to fraction form
    183.68/253.52 = 118.24/x
  3. Step 3: Cross multiply
    183.68x = 253.52 × 118.24
  4. Step 4: Simplify right side
    183.68x = 29,976.20
  5. Step 5: Solve for x
    x = 29,976.20/183.68
  6. Step 6: Final answer
    x = 163.20

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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.