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Finding the Fourth Proportional to 155.96, 214.82 and 123.14

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Solution

The fourth proportional to 155.96, 214.82 and 123.14 is: 169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 214.82 = 123.14 : x
  2. Step 2: Convert to fraction form
    155.96/214.82 = 123.14/x
  3. Step 3: Cross multiply
    155.96x = 214.82 × 123.14
  4. Step 4: Simplify right side
    155.96x = 26,452.93
  5. Step 5: Solve for x
    x = 26,452.93/155.96
  6. Step 6: Final answer
    x = 169.61

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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.