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Finding the Fourth Proportional to 122.29, 182.80 and 107.30

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Solution

The fourth proportional to 122.29, 182.80 and 107.30 is: 160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.29 : 182.80 = 107.30 : x
  2. Step 2: Convert to fraction form
    122.29/182.80 = 107.30/x
  3. Step 3: Cross multiply
    122.29x = 182.80 × 107.30
  4. Step 4: Simplify right side
    122.29x = 19,615.03
  5. Step 5: Solve for x
    x = 19,615.03/122.29
  6. Step 6: Final answer
    x = 160.40

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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.