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Finding the Fourth Proportional to 183.82, 253.58 and 118.30

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Solution

The fourth proportional to 183.82, 253.58 and 118.30 is: 163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.82 : 253.58 = 118.30 : x
  2. Step 2: Convert to fraction form
    183.82/253.58 = 118.30/x
  3. Step 3: Cross multiply
    183.82x = 253.58 × 118.30
  4. Step 4: Simplify right side
    183.82x = 29,998.51
  5. Step 5: Solve for x
    x = 29,998.51/183.82
  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.