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Finding the Fourth Proportional to 352.26, 525.74 and 321.42

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Solution

The fourth proportional to 352.26, 525.74 and 321.42 is: 479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.26 : 525.74 = 321.42 : x
  2. Step 2: Convert to fraction form
    352.26/525.74 = 321.42/x
  3. Step 3: Cross multiply
    352.26x = 525.74 × 321.42
  4. Step 4: Simplify right side
    352.26x = 168,981.74
  5. Step 5: Solve for x
    x = 168,981.74/352.26
  6. Step 6: Final answer
    x = 479.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.