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Finding the Fourth Proportional to 155.06, 232.75 and 109.46

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Solution

The fourth proportional to 155.06, 232.75 and 109.46 is: 164.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.06 : 232.75 = 109.46 : x
  2. Step 2: Convert to fraction form
    155.06/232.75 = 109.46/x
  3. Step 3: Cross multiply
    155.06x = 232.75 × 109.46
  4. Step 4: Simplify right side
    155.06x = 25,476.82
  5. Step 5: Solve for x
    x = 25,476.82/155.06
  6. Step 6: Final answer
    x = 164.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.