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Finding the Fourth Proportional to 122.48, 182.50 and 120.08

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Solution

The fourth proportional to 122.48, 182.50 and 120.08 is: 178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.48 : 182.50 = 120.08 : x
  2. Step 2: Convert to fraction form
    122.48/182.50 = 120.08/x
  3. Step 3: Cross multiply
    122.48x = 182.50 × 120.08
  4. Step 4: Simplify right side
    122.48x = 21,914.60
  5. Step 5: Solve for x
    x = 21,914.60/122.48
  6. Step 6: Final answer
    x = 178.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.