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Finding the Fourth Proportional to 357.87, 536.33 and 172.85

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Solution

The fourth proportional to 357.87, 536.33 and 172.85 is: 259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.87 : 536.33 = 172.85 : x
  2. Step 2: Convert to fraction form
    357.87/536.33 = 172.85/x
  3. Step 3: Cross multiply
    357.87x = 536.33 × 172.85
  4. Step 4: Simplify right side
    357.87x = 92,705.69
  5. Step 5: Solve for x
    x = 92,705.69/357.87
  6. Step 6: Final answer
    x = 259.05

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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.