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Finding the Fourth Proportional to 353.57, 484.48 and 345.67

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Solution

The fourth proportional to 353.57, 484.48 and 345.67 is: 473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 484.48 = 345.67 : x
  2. Step 2: Convert to fraction form
    353.57/484.48 = 345.67/x
  3. Step 3: Cross multiply
    353.57x = 484.48 × 345.67
  4. Step 4: Simplify right side
    353.57x = 167,469.42
  5. Step 5: Solve for x
    x = 167,469.42/353.57
  6. Step 6: Final answer
    x = 473.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.