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Finding the Fourth Proportional to 357.89, 536.85 and 126.80

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Solution

The fourth proportional to 357.89, 536.85 and 126.80 is: 190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 536.85 = 126.80 : x
  2. Step 2: Convert to fraction form
    357.89/536.85 = 126.80/x
  3. Step 3: Cross multiply
    357.89x = 536.85 × 126.80
  4. Step 4: Simplify right side
    357.89x = 68,069.90
  5. Step 5: Solve for x
    x = 68,069.90/357.89
  6. Step 6: Final answer
    x = 190.20

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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.