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Finding the Fourth Proportional to 155.12, 214.11 and 108.54

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Solution

The fourth proportional to 155.12, 214.11 and 108.54 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.12 : 214.11 = 108.54 : x
  2. Step 2: Convert to fraction form
    155.12/214.11 = 108.54/x
  3. Step 3: Cross multiply
    155.12x = 214.11 × 108.54
  4. Step 4: Simplify right side
    155.12x = 23,239.50
  5. Step 5: Solve for x
    x = 23,239.50/155.12
  6. Step 6: Final answer
    x = 149.82

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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.