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Finding the Fourth Proportional to 357.22, 535.19 and 270.05

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Solution

The fourth proportional to 357.22, 535.19 and 270.05 is: 404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 535.19 = 270.05 : x
  2. Step 2: Convert to fraction form
    357.22/535.19 = 270.05/x
  3. Step 3: Cross multiply
    357.22x = 535.19 × 270.05
  4. Step 4: Simplify right side
    357.22x = 144,528.06
  5. Step 5: Solve for x
    x = 144,528.06/357.22
  6. Step 6: Final answer
    x = 404.59

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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.