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Finding the Fourth Proportional to 357.57, 536.48 and 220.43

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Solution

The fourth proportional to 357.57, 536.48 and 220.43 is: 330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.57 : 536.48 = 220.43 : x
  2. Step 2: Convert to fraction form
    357.57/536.48 = 220.43/x
  3. Step 3: Cross multiply
    357.57x = 536.48 × 220.43
  4. Step 4: Simplify right side
    357.57x = 118,252.50
  5. Step 5: Solve for x
    x = 118,252.50/357.57
  6. Step 6: Final answer
    x = 330.71

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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.