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Finding the Fourth Proportional to 155.31, 214.26 and 108.67

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Solution

The fourth proportional to 155.31, 214.26 and 108.67 is: 149.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.31 : 214.26 = 108.67 : x
  2. Step 2: Convert to fraction form
    155.31/214.26 = 108.67/x
  3. Step 3: Cross multiply
    155.31x = 214.26 × 108.67
  4. Step 4: Simplify right side
    155.31x = 23,282.64
  5. Step 5: Solve for x
    x = 23,282.64/155.31
  6. Step 6: Final answer
    x = 149.91

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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.