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Finding the Fourth Proportional to 182.95, 252.68 and 142.00

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Solution

The fourth proportional to 182.95, 252.68 and 142.00 is: 196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 252.68 = 142.00 : x
  2. Step 2: Convert to fraction form
    182.95/252.68 = 142.00/x
  3. Step 3: Cross multiply
    182.95x = 252.68 × 142.00
  4. Step 4: Simplify right side
    182.95x = 35,881.31
  5. Step 5: Solve for x
    x = 35,881.31/182.95
  6. Step 6: Final answer
    x = 196.12

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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.