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Finding the Fourth Proportional to 155.94, 233.97 and 144.33

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Solution

The fourth proportional to 155.94, 233.97 and 144.33 is: 216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.94 : 233.97 = 144.33 : x
  2. Step 2: Convert to fraction form
    155.94/233.97 = 144.33/x
  3. Step 3: Cross multiply
    155.94x = 233.97 × 144.33
  4. Step 4: Simplify right side
    155.94x = 33,768.89
  5. Step 5: Solve for x
    x = 33,768.89/155.94
  6. Step 6: Final answer
    x = 216.55

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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.