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Finding the Fourth Proportional to 155.14, 214.11 and 106.23

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Solution

The fourth proportional to 155.14, 214.11 and 106.23 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.14 : 214.11 = 106.23 : x
  2. Step 2: Convert to fraction form
    155.14/214.11 = 106.23/x
  3. Step 3: Cross multiply
    155.14x = 214.11 × 106.23
  4. Step 4: Simplify right side
    155.14x = 22,744.91
  5. Step 5: Solve for x
    x = 22,744.91/155.14
  6. Step 6: Final answer
    x = 146.61

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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.