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Finding the Fourth Proportional to 357.22, 535.17 and 319.09

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Solution

The fourth proportional to 357.22, 535.17 and 319.09 is: 478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.22 : 535.17 = 319.09 : x
  2. Step 2: Convert to fraction form
    357.22/535.17 = 319.09/x
  3. Step 3: Cross multiply
    357.22x = 535.17 × 319.09
  4. Step 4: Simplify right side
    357.22x = 170,767.40
  5. Step 5: Solve for x
    x = 170,767.40/357.22
  6. Step 6: Final answer
    x = 478.05

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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.