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Finding the Fourth Proportional to 484.85, 727.36 and 160.44

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Solution

The fourth proportional to 484.85, 727.36 and 160.44 is: 240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.85 : 727.36 = 160.44 : x
  2. Step 2: Convert to fraction form
    484.85/727.36 = 160.44/x
  3. Step 3: Cross multiply
    484.85x = 727.36 × 160.44
  4. Step 4: Simplify right side
    484.85x = 116,697.24
  5. Step 5: Solve for x
    x = 116,697.24/484.85
  6. Step 6: Final answer
    x = 240.69

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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.