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Finding the Fourth Proportional to 355.46, 535.07 and 321.98

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Solution

The fourth proportional to 355.46, 535.07 and 321.98 is: 484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.46 : 535.07 = 321.98 : x
  2. Step 2: Convert to fraction form
    355.46/535.07 = 321.98/x
  3. Step 3: Cross multiply
    355.46x = 535.07 × 321.98
  4. Step 4: Simplify right side
    355.46x = 172,279.97
  5. Step 5: Solve for x
    x = 172,279.97/355.46
  6. Step 6: Final answer
    x = 484.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.