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Finding the Fourth Proportional to 122.34, 184.42 and 114.51

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Solution

The fourth proportional to 122.34, 184.42 and 114.51 is: 172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.34 : 184.42 = 114.51 : x
  2. Step 2: Convert to fraction form
    122.34/184.42 = 114.51/x
  3. Step 3: Cross multiply
    122.34x = 184.42 × 114.51
  4. Step 4: Simplify right side
    122.34x = 21,117.93
  5. Step 5: Solve for x
    x = 21,117.93/122.34
  6. Step 6: Final answer
    x = 172.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.