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Finding the Fourth Proportional to 183.17, 252.55 and 148.09

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Solution

The fourth proportional to 183.17, 252.55 and 148.09 is: 204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.17 : 252.55 = 148.09 : x
  2. Step 2: Convert to fraction form
    183.17/252.55 = 148.09/x
  3. Step 3: Cross multiply
    183.17x = 252.55 × 148.09
  4. Step 4: Simplify right side
    183.17x = 37,399.13
  5. Step 5: Solve for x
    x = 37,399.13/183.17
  6. Step 6: Final answer
    x = 204.18

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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.