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Finding the Fourth Proportional to 183.90, 252.75 and 148.87

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Solution

The fourth proportional to 183.90, 252.75 and 148.87 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.90 : 252.75 = 148.87 : x
  2. Step 2: Convert to fraction form
    183.90/252.75 = 148.87/x
  3. Step 3: Cross multiply
    183.90x = 252.75 × 148.87
  4. Step 4: Simplify right side
    183.90x = 37,627.77
  5. Step 5: Solve for x
    x = 37,627.77/183.90
  6. Step 6: Final answer
    x = 204.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.