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Finding the Fourth Proportional to 484.94, 727.34 and 155.85

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Solution

The fourth proportional to 484.94, 727.34 and 155.85 is: 233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.94 : 727.34 = 155.85 : x
  2. Step 2: Convert to fraction form
    484.94/727.34 = 155.85/x
  3. Step 3: Cross multiply
    484.94x = 727.34 × 155.85
  4. Step 4: Simplify right side
    484.94x = 113,352.30
  5. Step 5: Solve for x
    x = 113,352.30/484.94
  6. Step 6: Final answer
    x = 233.75

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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.