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Finding the Fourth Proportional to 357.32, 535.78 and 213.14

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Solution

The fourth proportional to 357.32, 535.78 and 213.14 is: 319.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.32 : 535.78 = 213.14 : x
  2. Step 2: Convert to fraction form
    357.32/535.78 = 213.14/x
  3. Step 3: Cross multiply
    357.32x = 535.78 × 213.14
  4. Step 4: Simplify right side
    357.32x = 114,195.08
  5. Step 5: Solve for x
    x = 114,195.08/357.32
  6. Step 6: Final answer
    x = 319.59

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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.