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Finding the Fourth Proportional to 183, 252.50 and 104.30

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Solution

The fourth proportional to 183, 252.50 and 104.30 is: 143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183 : 252.50 = 104.30 : x
  2. Step 2: Convert to fraction form
    183/252.50 = 104.30/x
  3. Step 3: Cross multiply
    183x = 252.50 × 104.30
  4. Step 4: Simplify right side
    183x = 26,333.97
  5. Step 5: Solve for x
    x = 26,333.97/183
  6. Step 6: Final answer
    x = 143.90

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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.