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Finding the Fourth Proportional to 155.07, 213.75 and 122.31

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Solution

The fourth proportional to 155.07, 213.75 and 122.31 is: 168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.07 : 213.75 = 122.31 : x
  2. Step 2: Convert to fraction form
    155.07/213.75 = 122.31/x
  3. Step 3: Cross multiply
    155.07x = 213.75 × 122.31
  4. Step 4: Simplify right side
    155.07x = 26,143.76
  5. Step 5: Solve for x
    x = 26,143.76/155.07
  6. Step 6: Final answer
    x = 168.59

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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.