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Finding the Fourth Proportional to 122.29, 181.83 and 117.43

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Solution

The fourth proportional to 122.29, 181.83 and 117.43 is: 174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.29 : 181.83 = 117.43 : x
  2. Step 2: Convert to fraction form
    122.29/181.83 = 117.43/x
  3. Step 3: Cross multiply
    122.29x = 181.83 × 117.43
  4. Step 4: Simplify right side
    122.29x = 21,352.30
  5. Step 5: Solve for x
    x = 21,352.30/122.29
  6. Step 6: Final answer
    x = 174.60

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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.